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Finding the Third Proportional to 385,225.13 and 598,819.13

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Solution

The third proportional to 385,225.13 and 598,819.13 is: 930,843.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,225.13 : 598,819.13 = 598,819.13 : x
  2. Step 2: Convert to fraction form
    385,225.13/598,819.13 = 598,819.13/x
  3. Step 3: Cross multiply
    385,225.13x = 598,819.13 × 598,819.13
  4. Step 4: Simplify right side
    385,225.13x = 358,584,344,465.77
  5. Step 5: Solve for x
    x = 358,584,344,465.77/385,225.13
  6. Step 6: Final answer
    x = 930,843.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.