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Finding the Third Proportional to 249,472 and 384,048

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Solution

The third proportional to 249,472 and 384,048 is: 591,220.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,472 : 384,048 = 384,048 : x
  2. Step 2: Convert to fraction form
    249,472/384,048 = 384,048/x
  3. Step 3: Cross multiply
    249,472x = 384,048 × 384,048
  4. Step 4: Simplify right side
    249,472x = 147,492,866,304
  5. Step 5: Solve for x
    x = 147,492,866,304/249,472
  6. Step 6: Final answer
    x = 591,220.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.