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Finding the Third Proportional to 350,802 and 564,966

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Solution

The third proportional to 350,802 and 564,966 is: 909,876.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,802 : 564,966 = 564,966 : x
  2. Step 2: Convert to fraction form
    350,802/564,966 = 564,966/x
  3. Step 3: Cross multiply
    350,802x = 564,966 × 564,966
  4. Step 4: Simplify right side
    350,802x = 319,186,581,156
  5. Step 5: Solve for x
    x = 319,186,581,156/350,802
  6. Step 6: Final answer
    x = 909,876.74

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.