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Finding the Third Proportional to 249,732 and 382,932

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Solution

The third proportional to 249,732 and 382,932 is: 587,177.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,732 : 382,932 = 382,932 : x
  2. Step 2: Convert to fraction form
    249,732/382,932 = 382,932/x
  3. Step 3: Cross multiply
    249,732x = 382,932 × 382,932
  4. Step 4: Simplify right side
    249,732x = 146,636,916,624
  5. Step 5: Solve for x
    x = 146,636,916,624/249,732
  6. Step 6: Final answer
    x = 587,177.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.