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Finding the Third Proportional to 240,320.25 and 518,637.38

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Solution

The third proportional to 240,320.25 and 518,637.38 is: 1,119,276.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,320.25 : 518,637.38 = 518,637.38 : x
  2. Step 2: Convert to fraction form
    240,320.25/518,637.38 = 518,637.38/x
  3. Step 3: Cross multiply
    240,320.25x = 518,637.38 × 518,637.38
  4. Step 4: Simplify right side
    240,320.25x = 268,984,726,746.89
  5. Step 5: Solve for x
    x = 268,984,726,746.89/240,320.25
  6. Step 6: Final answer
    x = 1,119,276.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.