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Finding the Third Proportional to 454,492 and 711,402

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Solution

The third proportional to 454,492 and 711,402 is: 1,113,535.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,492 : 711,402 = 711,402 : x
  2. Step 2: Convert to fraction form
    454,492/711,402 = 711,402/x
  3. Step 3: Cross multiply
    454,492x = 711,402 × 711,402
  4. Step 4: Simplify right side
    454,492x = 506,092,805,604
  5. Step 5: Solve for x
    x = 506,092,805,604/454,492
  6. Step 6: Final answer
    x = 1,113,535.12

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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.