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Finding the Third Proportional to 249,441 and 443,478

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Solution

The third proportional to 249,441 and 443,478 is: 788,453.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,441 : 443,478 = 443,478 : x
  2. Step 2: Convert to fraction form
    249,441/443,478 = 443,478/x
  3. Step 3: Cross multiply
    249,441x = 443,478 × 443,478
  4. Step 4: Simplify right side
    249,441x = 196,672,736,484
  5. Step 5: Solve for x
    x = 196,672,736,484/249,441
  6. Step 6: Final answer
    x = 788,453.93

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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.