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Finding the Third Proportional to 249,737 and 382,940

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Solution

The third proportional to 249,737 and 382,940 is: 587,189.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,737 : 382,940 = 382,940 : x
  2. Step 2: Convert to fraction form
    249,737/382,940 = 382,940/x
  3. Step 3: Cross multiply
    249,737x = 382,940 × 382,940
  4. Step 4: Simplify right side
    249,737x = 146,643,043,600
  5. Step 5: Solve for x
    x = 146,643,043,600/249,737
  6. Step 6: Final answer
    x = 587,189.90

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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.