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Finding the Third Proportional to 232,966.76 and 480,798.28

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Solution

The third proportional to 232,966.76 and 480,798.28 is: 992,274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,966.76 : 480,798.28 = 480,798.28 : x
  2. Step 2: Convert to fraction form
    232,966.76/480,798.28 = 480,798.28/x
  3. Step 3: Cross multiply
    232,966.76x = 480,798.28 × 480,798.28
  4. Step 4: Simplify right side
    232,966.76x = 231,166,987,252.95
  5. Step 5: Solve for x
    x = 231,166,987,252.95/232,966.76
  6. Step 6: Final answer
    x = 992,274.56

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.