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Finding the Third Proportional to 249,883 and 384,383

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Solution

The third proportional to 249,883 and 384,383 is: 591,277.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,883 : 384,383 = 384,383 : x
  2. Step 2: Convert to fraction form
    249,883/384,383 = 384,383/x
  3. Step 3: Cross multiply
    249,883x = 384,383 × 384,383
  4. Step 4: Simplify right side
    249,883x = 147,750,290,689
  5. Step 5: Solve for x
    x = 147,750,290,689/249,883
  6. Step 6: Final answer
    x = 591,277.88

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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.