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Finding the Third Proportional to 315,084 and 471,528

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Solution

The third proportional to 315,084 and 471,528 is: 705,648.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,084 : 471,528 = 471,528 : x
  2. Step 2: Convert to fraction form
    315,084/471,528 = 471,528/x
  3. Step 3: Cross multiply
    315,084x = 471,528 × 471,528
  4. Step 4: Simplify right side
    315,084x = 222,338,654,784
  5. Step 5: Solve for x
    x = 222,338,654,784/315,084
  6. Step 6: Final answer
    x = 705,648.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.