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Finding the Third Proportional to 486,156.50 and 735,941.50

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Solution

The third proportional to 486,156.50 and 735,941.50 is: 1,114,064.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,156.50 : 735,941.50 = 735,941.50 : x
  2. Step 2: Convert to fraction form
    486,156.50/735,941.50 = 735,941.50/x
  3. Step 3: Cross multiply
    486,156.50x = 735,941.50 × 735,941.50
  4. Step 4: Simplify right side
    486,156.50x = 541,609,891,422.25
  5. Step 5: Solve for x
    x = 541,609,891,422.25/486,156.50
  6. Step 6: Final answer
    x = 1,114,064.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.