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Finding the Third Proportional to 332,469 and 709,164

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Solution

The third proportional to 332,469 and 709,164 is: 1,512,663.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,469 : 709,164 = 709,164 : x
  2. Step 2: Convert to fraction form
    332,469/709,164 = 709,164/x
  3. Step 3: Cross multiply
    332,469x = 709,164 × 709,164
  4. Step 4: Simplify right side
    332,469x = 502,913,578,896
  5. Step 5: Solve for x
    x = 502,913,578,896/332,469
  6. Step 6: Final answer
    x = 1,512,663.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.