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Finding the Third Proportional to 249,792 and 383,032

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Solution

The third proportional to 249,792 and 383,032 is: 587,342.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,792 : 383,032 = 383,032 : x
  2. Step 2: Convert to fraction form
    249,792/383,032 = 383,032/x
  3. Step 3: Cross multiply
    249,792x = 383,032 × 383,032
  4. Step 4: Simplify right side
    249,792x = 146,713,513,024
  5. Step 5: Solve for x
    x = 146,713,513,024/249,792
  6. Step 6: Final answer
    x = 587,342.72

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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.