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Finding the Third Proportional to 257,611 and 564,430

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Solution

The third proportional to 257,611 and 564,430 is: 1,236,675.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,611 : 564,430 = 564,430 : x
  2. Step 2: Convert to fraction form
    257,611/564,430 = 564,430/x
  3. Step 3: Cross multiply
    257,611x = 564,430 × 564,430
  4. Step 4: Simplify right side
    257,611x = 318,581,224,900
  5. Step 5: Solve for x
    x = 318,581,224,900/257,611
  6. Step 6: Final answer
    x = 1,236,675.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.