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Finding the Third Proportional to 249,204 and 531,028

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Solution

The third proportional to 249,204 and 531,028 is: 1,131,565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,204 : 531,028 = 531,028 : x
  2. Step 2: Convert to fraction form
    249,204/531,028 = 531,028/x
  3. Step 3: Cross multiply
    249,204x = 531,028 × 531,028
  4. Step 4: Simplify right side
    249,204x = 281,990,736,784
  5. Step 5: Solve for x
    x = 281,990,736,784/249,204
  6. Step 6: Final answer
    x = 1,131,565.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.