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Finding the Third Proportional to 451,514 and 663,784

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Solution

The third proportional to 451,514 and 663,784 is: 975,848.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,514 : 663,784 = 663,784 : x
  2. Step 2: Convert to fraction form
    451,514/663,784 = 663,784/x
  3. Step 3: Cross multiply
    451,514x = 663,784 × 663,784
  4. Step 4: Simplify right side
    451,514x = 440,609,198,656
  5. Step 5: Solve for x
    x = 440,609,198,656/451,514
  6. Step 6: Final answer
    x = 975,848.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.