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Finding the Third Proportional to 564,552 and 877,932

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Solution

The third proportional to 564,552 and 877,932 is: 1,365,267.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,552 : 877,932 = 877,932 : x
  2. Step 2: Convert to fraction form
    564,552/877,932 = 877,932/x
  3. Step 3: Cross multiply
    564,552x = 877,932 × 877,932
  4. Step 4: Simplify right side
    564,552x = 770,764,596,624
  5. Step 5: Solve for x
    x = 770,764,596,624/564,552
  6. Step 6: Final answer
    x = 1,365,267.68

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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.