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Finding the Third Proportional to 337,071.38 and 500,549.63

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Solution

The third proportional to 337,071.38 and 500,549.63 is: 743,314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,071.38 : 500,549.63 = 500,549.63 : x
  2. Step 2: Convert to fraction form
    337,071.38/500,549.63 = 500,549.63/x
  3. Step 3: Cross multiply
    337,071.38x = 500,549.63 × 500,549.63
  4. Step 4: Simplify right side
    337,071.38x = 250,549,927,087.64
  5. Step 5: Solve for x
    x = 250,549,927,087.64/337,071.38
  6. Step 6: Final answer
    x = 743,314.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.