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Finding the Third Proportional to 249,484 and 383,451

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Solution

The third proportional to 249,484 and 383,451 is: 589,355.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,484 : 383,451 = 383,451 : x
  2. Step 2: Convert to fraction form
    249,484/383,451 = 383,451/x
  3. Step 3: Cross multiply
    249,484x = 383,451 × 383,451
  4. Step 4: Simplify right side
    249,484x = 147,034,669,401
  5. Step 5: Solve for x
    x = 147,034,669,401/249,484
  6. Step 6: Final answer
    x = 589,355.11

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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.