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Finding the Third Proportional to 564,572 and 877,962

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Solution

The third proportional to 564,572 and 877,962 is: 1,365,312.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,572 : 877,962 = 877,962 : x
  2. Step 2: Convert to fraction form
    564,572/877,962 = 877,962/x
  3. Step 3: Cross multiply
    564,572x = 877,962 × 877,962
  4. Step 4: Simplify right side
    564,572x = 770,817,273,444
  5. Step 5: Solve for x
    x = 770,817,273,444/564,572
  6. Step 6: Final answer
    x = 1,365,312.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.