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Finding the Third Proportional to 249,792 and 383,008

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Solution

The third proportional to 249,792 and 383,008 is: 587,269.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,792 : 383,008 = 383,008 : x
  2. Step 2: Convert to fraction form
    249,792/383,008 = 383,008/x
  3. Step 3: Cross multiply
    249,792x = 383,008 × 383,008
  4. Step 4: Simplify right side
    249,792x = 146,695,128,064
  5. Step 5: Solve for x
    x = 146,695,128,064/249,792
  6. Step 6: Final answer
    x = 587,269.12

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