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Finding the Third Proportional to 369,129 and 527,853

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Solution

The third proportional to 369,129 and 527,853 is: 754,827.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,129 : 527,853 = 527,853 : x
  2. Step 2: Convert to fraction form
    369,129/527,853 = 527,853/x
  3. Step 3: Cross multiply
    369,129x = 527,853 × 527,853
  4. Step 4: Simplify right side
    369,129x = 278,628,789,609
  5. Step 5: Solve for x
    x = 278,628,789,609/369,129
  6. Step 6: Final answer
    x = 754,827.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.