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Finding the Third Proportional to 592,531.50 and 1,313,182.50

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Solution

The third proportional to 592,531.50 and 1,313,182.50 is: 2,910,306.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,531.50 : 1,313,182.50 = 1,313,182.50 : x
  2. Step 2: Convert to fraction form
    592,531.50/1,313,182.50 = 1,313,182.50/x
  3. Step 3: Cross multiply
    592,531.50x = 1,313,182.50 × 1,313,182.50
  4. Step 4: Simplify right side
    592,531.50x = 1,724,448,278,306.25
  5. Step 5: Solve for x
    x = 1,724,448,278,306.25/592,531.50
  6. Step 6: Final answer
    x = 2,910,306.50

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.