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Finding the Third Proportional to 454,092.75 and 712,417.50

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Solution

The third proportional to 454,092.75 and 712,417.50 is: 1,117,698.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,092.75 : 712,417.50 = 712,417.50 : x
  2. Step 2: Convert to fraction form
    454,092.75/712,417.50 = 712,417.50/x
  3. Step 3: Cross multiply
    454,092.75x = 712,417.50 × 712,417.50
  4. Step 4: Simplify right side
    454,092.75x = 507,538,694,306.25
  5. Step 5: Solve for x
    x = 507,538,694,306.25/454,092.75
  6. Step 6: Final answer
    x = 1,117,698.30

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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.