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Finding the Third Proportional to 504,808,395.75 and 755,194,640.63

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Solution

The third proportional to 504,808,395.75 and 755,194,640.63 is: 1,129,773,098.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,808,395.75 : 755,194,640.63 = 755,194,640.63 : x
  2. Step 2: Convert to fraction form
    504,808,395.75/755,194,640.63 = 755,194,640.63/x
  3. Step 3: Cross multiply
    504,808,395.75x = 755,194,640.63 × 755,194,640.63
  4. Step 4: Simplify right side
    504,808,395.75x = 570,318,945,228,722,880
  5. Step 5: Solve for x
    x = 570,318,945,228,722,880/504,808,395.75
  6. Step 6: Final answer
    x = 1,129,773,098.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.