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Finding the Third Proportional to 268,417.71 and 584,063.31

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Solution

The third proportional to 268,417.71 and 584,063.31 is: 1,270,892.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,417.71 : 584,063.31 = 584,063.31 : x
  2. Step 2: Convert to fraction form
    268,417.71/584,063.31 = 584,063.31/x
  3. Step 3: Cross multiply
    268,417.71x = 584,063.31 × 584,063.31
  4. Step 4: Simplify right side
    268,417.71x = 341,129,955,289.96
  5. Step 5: Solve for x
    x = 341,129,955,289.96/268,417.71
  6. Step 6: Final answer
    x = 1,270,892.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.