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Finding the Third Proportional to 249,442 and 443,477

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Solution

The third proportional to 249,442 and 443,477 is: 788,447.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,442 : 443,477 = 443,477 : x
  2. Step 2: Convert to fraction form
    249,442/443,477 = 443,477/x
  3. Step 3: Cross multiply
    249,442x = 443,477 × 443,477
  4. Step 4: Simplify right side
    249,442x = 196,671,849,529
  5. Step 5: Solve for x
    x = 196,671,849,529/249,442
  6. Step 6: Final answer
    x = 788,447.21

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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.