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Finding the Third Proportional to 369,148 and 527,882

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Solution

The third proportional to 369,148 and 527,882 is: 754,871.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,148 : 527,882 = 527,882 : x
  2. Step 2: Convert to fraction form
    369,148/527,882 = 527,882/x
  3. Step 3: Cross multiply
    369,148x = 527,882 × 527,882
  4. Step 4: Simplify right side
    369,148x = 278,659,405,924
  5. Step 5: Solve for x
    x = 278,659,405,924/369,148
  6. Step 6: Final answer
    x = 754,871.77

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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.