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Finding the Third Proportional to 402,790.50 and 564,637.50

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Solution

The third proportional to 402,790.50 and 564,637.50 is: 791,516.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,790.50 : 564,637.50 = 564,637.50 : x
  2. Step 2: Convert to fraction form
    402,790.50/564,637.50 = 564,637.50/x
  3. Step 3: Cross multiply
    402,790.50x = 564,637.50 × 564,637.50
  4. Step 4: Simplify right side
    402,790.50x = 318,815,506,406.25
  5. Step 5: Solve for x
    x = 318,815,506,406.25/402,790.50
  6. Step 6: Final answer
    x = 791,516.95

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