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Finding the Third Proportional to 656,152 and 861,576

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Solution

The third proportional to 656,152 and 861,576 is: 1,131,312.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,152 : 861,576 = 861,576 : x
  2. Step 2: Convert to fraction form
    656,152/861,576 = 861,576/x
  3. Step 3: Cross multiply
    656,152x = 861,576 × 861,576
  4. Step 4: Simplify right side
    656,152x = 742,313,203,776
  5. Step 5: Solve for x
    x = 742,313,203,776/656,152
  6. Step 6: Final answer
    x = 1,131,312.87

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.