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Finding the Third Proportional to 564,580 and 877,974

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Solution

The third proportional to 564,580 and 877,974 is: 1,365,330.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,580 : 877,974 = 877,974 : x
  2. Step 2: Convert to fraction form
    564,580/877,974 = 877,974/x
  3. Step 3: Cross multiply
    564,580x = 877,974 × 877,974
  4. Step 4: Simplify right side
    564,580x = 770,838,344,676
  5. Step 5: Solve for x
    x = 770,838,344,676/564,580
  6. Step 6: Final answer
    x = 1,365,330.59

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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.