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Finding the Third Proportional to 344,088.56 and 740,908.13

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Solution

The third proportional to 344,088.56 and 740,908.13 is: 1,595,359.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,088.56 : 740,908.13 = 740,908.13 : x
  2. Step 2: Convert to fraction form
    344,088.56/740,908.13 = 740,908.13/x
  3. Step 3: Cross multiply
    344,088.56x = 740,908.13 × 740,908.13
  4. Step 4: Simplify right side
    344,088.56x = 548,944,849,691.02
  5. Step 5: Solve for x
    x = 548,944,849,691.02/344,088.56
  6. Step 6: Final answer
    x = 1,595,359.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.