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Finding the Third Proportional to 373,474.50 and 564,657

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Solution

The third proportional to 373,474.50 and 564,657 is: 853,706.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,474.50 : 564,657 = 564,657 : x
  2. Step 2: Convert to fraction form
    373,474.50/564,657 = 564,657/x
  3. Step 3: Cross multiply
    373,474.50x = 564,657 × 564,657
  4. Step 4: Simplify right side
    373,474.50x = 318,837,527,649
  5. Step 5: Solve for x
    x = 318,837,527,649/373,474.50
  6. Step 6: Final answer
    x = 853,706.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.