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Finding the Third Proportional to 340,837.88 and 738,088.88

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Solution

The third proportional to 340,837.88 and 738,088.88 is: 1,598,341.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,837.88 : 738,088.88 = 738,088.88 : x
  2. Step 2: Convert to fraction form
    340,837.88/738,088.88 = 738,088.88/x
  3. Step 3: Cross multiply
    340,837.88x = 738,088.88 × 738,088.88
  4. Step 4: Simplify right side
    340,837.88x = 544,775,187,398.77
  5. Step 5: Solve for x
    x = 544,775,187,398.77/340,837.88
  6. Step 6: Final answer
    x = 1,598,341.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.