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Finding the Third Proportional to 395,417.81 and 598,672.13

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Solution

The third proportional to 395,417.81 and 598,672.13 is: 906,404.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,417.81 : 598,672.13 = 598,672.13 : x
  2. Step 2: Convert to fraction form
    395,417.81/598,672.13 = 598,672.13/x
  3. Step 3: Cross multiply
    395,417.81x = 598,672.13 × 598,672.13
  4. Step 4: Simplify right side
    395,417.81x = 358,408,313,252.02
  5. Step 5: Solve for x
    x = 358,408,313,252.02/395,417.81
  6. Step 6: Final answer
    x = 906,404.07

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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.