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Finding the Third Proportional to 249,454 and 443,496

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Solution

The third proportional to 249,454 and 443,496 is: 788,476.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,454 : 443,496 = 443,496 : x
  2. Step 2: Convert to fraction form
    249,454/443,496 = 443,496/x
  3. Step 3: Cross multiply
    249,454x = 443,496 × 443,496
  4. Step 4: Simplify right side
    249,454x = 196,688,702,016
  5. Step 5: Solve for x
    x = 196,688,702,016/249,454
  6. Step 6: Final answer
    x = 788,476.84

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.