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Finding the Third Proportional to 287,613 and 619,384

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Solution

The third proportional to 287,613 and 619,384 is: 1,333,863.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,613 : 619,384 = 619,384 : x
  2. Step 2: Convert to fraction form
    287,613/619,384 = 619,384/x
  3. Step 3: Cross multiply
    287,613x = 619,384 × 619,384
  4. Step 4: Simplify right side
    287,613x = 383,636,539,456
  5. Step 5: Solve for x
    x = 383,636,539,456/287,613
  6. Step 6: Final answer
    x = 1,333,863.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.