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Finding the Third Proportional to 560,226 and 868,905

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Solution

The third proportional to 560,226 and 868,905 is: 1,347,663.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,226 : 868,905 = 868,905 : x
  2. Step 2: Convert to fraction form
    560,226/868,905 = 868,905/x
  3. Step 3: Cross multiply
    560,226x = 868,905 × 868,905
  4. Step 4: Simplify right side
    560,226x = 754,995,899,025
  5. Step 5: Solve for x
    x = 754,995,899,025/560,226
  6. Step 6: Final answer
    x = 1,347,663.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.