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Finding the Third Proportional to 402,565.50 and 564,246

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Solution

The third proportional to 402,565.50 and 564,246 is: 790,861.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,565.50 : 564,246 = 564,246 : x
  2. Step 2: Convert to fraction form
    402,565.50/564,246 = 564,246/x
  3. Step 3: Cross multiply
    402,565.50x = 564,246 × 564,246
  4. Step 4: Simplify right side
    402,565.50x = 318,373,548,516
  5. Step 5: Solve for x
    x = 318,373,548,516/402,565.50
  6. Step 6: Final answer
    x = 790,861.48

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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.