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Finding the Third Proportional to 498,398 and 745,533

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Solution

The third proportional to 498,398 and 745,533 is: 1,115,212.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,398 : 745,533 = 745,533 : x
  2. Step 2: Convert to fraction form
    498,398/745,533 = 745,533/x
  3. Step 3: Cross multiply
    498,398x = 745,533 × 745,533
  4. Step 4: Simplify right side
    498,398x = 555,819,454,089
  5. Step 5: Solve for x
    x = 555,819,454,089/498,398
  6. Step 6: Final answer
    x = 1,115,212.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.