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Finding the Third Proportional to 384,246.28 and 573,248.39

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Solution

The third proportional to 384,246.28 and 573,248.39 is: 855,216.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,246.28 : 573,248.39 = 573,248.39 : x
  2. Step 2: Convert to fraction form
    384,246.28/573,248.39 = 573,248.39/x
  3. Step 3: Cross multiply
    384,246.28x = 573,248.39 × 573,248.39
  4. Step 4: Simplify right side
    384,246.28x = 328,613,717,354.15
  5. Step 5: Solve for x
    x = 328,613,717,354.15/384,246.28
  6. Step 6: Final answer
    x = 855,216.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.