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Finding the Third Proportional to 454,632 and 713,180

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Solution

The third proportional to 454,632 and 713,180 is: 1,118,763.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,632 : 713,180 = 713,180 : x
  2. Step 2: Convert to fraction form
    454,632/713,180 = 713,180/x
  3. Step 3: Cross multiply
    454,632x = 713,180 × 713,180
  4. Step 4: Simplify right side
    454,632x = 508,625,712,400
  5. Step 5: Solve for x
    x = 508,625,712,400/454,632
  6. Step 6: Final answer
    x = 1,118,763.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.