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Finding the Third Proportional to 369,118 and 527,835

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Solution

The third proportional to 369,118 and 527,835 is: 754,798.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,118 : 527,835 = 527,835 : x
  2. Step 2: Convert to fraction form
    369,118/527,835 = 527,835/x
  3. Step 3: Cross multiply
    369,118x = 527,835 × 527,835
  4. Step 4: Simplify right side
    369,118x = 278,609,787,225
  5. Step 5: Solve for x
    x = 278,609,787,225/369,118
  6. Step 6: Final answer
    x = 754,798.70

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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.