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Finding the Third Proportional to 337,282.50 and 688,112.50

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Solution

The third proportional to 337,282.50 and 688,112.50 is: 1,403,864.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,282.50 : 688,112.50 = 688,112.50 : x
  2. Step 2: Convert to fraction form
    337,282.50/688,112.50 = 688,112.50/x
  3. Step 3: Cross multiply
    337,282.50x = 688,112.50 × 688,112.50
  4. Step 4: Simplify right side
    337,282.50x = 473,498,812,656.25
  5. Step 5: Solve for x
    x = 473,498,812,656.25/337,282.50
  6. Step 6: Final answer
    x = 1,403,864.16

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.