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Finding the Third Proportional to 287,721 and 598,891.50

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Solution

The third proportional to 287,721 and 598,891.50 is: 1,246,593.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,721 : 598,891.50 = 598,891.50 : x
  2. Step 2: Convert to fraction form
    287,721/598,891.50 = 598,891.50/x
  3. Step 3: Cross multiply
    287,721x = 598,891.50 × 598,891.50
  4. Step 4: Simplify right side
    287,721x = 358,671,028,772.25
  5. Step 5: Solve for x
    x = 358,671,028,772.25/287,721
  6. Step 6: Final answer
    x = 1,246,593.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.