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Finding the Third Proportional to 249,474 and 383,436

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Solution

The third proportional to 249,474 and 383,436 is: 589,332.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,474 : 383,436 = 383,436 : x
  2. Step 2: Convert to fraction form
    249,474/383,436 = 383,436/x
  3. Step 3: Cross multiply
    249,474x = 383,436 × 383,436
  4. Step 4: Simplify right side
    249,474x = 147,023,166,096
  5. Step 5: Solve for x
    x = 147,023,166,096/249,474
  6. Step 6: Final answer
    x = 589,332.62

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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.