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Finding the Third Proportional to 498,347.44 and 753,467.06

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Solution

The third proportional to 498,347.44 and 753,467.06 is: 1,139,190.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,347.44 : 753,467.06 = 753,467.06 : x
  2. Step 2: Convert to fraction form
    498,347.44/753,467.06 = 753,467.06/x
  3. Step 3: Cross multiply
    498,347.44x = 753,467.06 × 753,467.06
  4. Step 4: Simplify right side
    498,347.44x = 567,712,614,272.38
  5. Step 5: Solve for x
    x = 567,712,614,272.38/498,347.44
  6. Step 6: Final answer
    x = 1,139,190.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.