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Finding the Third Proportional to 232,944 and 499,128

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Solution

The third proportional to 232,944 and 499,128 is: 1,069,479.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,944 : 499,128 = 499,128 : x
  2. Step 2: Convert to fraction form
    232,944/499,128 = 499,128/x
  3. Step 3: Cross multiply
    232,944x = 499,128 × 499,128
  4. Step 4: Simplify right side
    232,944x = 249,128,760,384
  5. Step 5: Solve for x
    x = 249,128,760,384/232,944
  6. Step 6: Final answer
    x = 1,069,479.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.