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Finding the Third Proportional to 460,024 and 706,098

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Solution

The third proportional to 460,024 and 706,098 is: 1,083,800.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,024 : 706,098 = 706,098 : x
  2. Step 2: Convert to fraction form
    460,024/706,098 = 706,098/x
  3. Step 3: Cross multiply
    460,024x = 706,098 × 706,098
  4. Step 4: Simplify right side
    460,024x = 498,574,385,604
  5. Step 5: Solve for x
    x = 498,574,385,604/460,024
  6. Step 6: Final answer
    x = 1,083,800.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.