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Finding the Third Proportional to 323,125.13 and 452,800.13

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Solution

The third proportional to 323,125.13 and 452,800.13 is: 634,515.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,125.13 : 452,800.13 = 452,800.13 : x
  2. Step 2: Convert to fraction form
    323,125.13/452,800.13 = 452,800.13/x
  3. Step 3: Cross multiply
    323,125.13x = 452,800.13 × 452,800.13
  4. Step 4: Simplify right side
    323,125.13x = 205,027,953,200.02
  5. Step 5: Solve for x
    x = 205,027,953,200.02/323,125.13
  6. Step 6: Final answer
    x = 634,515.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.