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Finding the Third Proportional to 249,543 and 383,953

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Solution

The third proportional to 249,543 and 383,953 is: 590,759.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,543 : 383,953 = 383,953 : x
  2. Step 2: Convert to fraction form
    249,543/383,953 = 383,953/x
  3. Step 3: Cross multiply
    249,543x = 383,953 × 383,953
  4. Step 4: Simplify right side
    249,543x = 147,419,906,209
  5. Step 5: Solve for x
    x = 147,419,906,209/249,543
  6. Step 6: Final answer
    x = 590,759.53

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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.