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Finding the Third Proportional to 249,442.50 and 443,481

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Solution

The third proportional to 249,442.50 and 443,481 is: 788,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,442.50 : 443,481 = 443,481 : x
  2. Step 2: Convert to fraction form
    249,442.50/443,481 = 443,481/x
  3. Step 3: Cross multiply
    249,442.50x = 443,481 × 443,481
  4. Step 4: Simplify right side
    249,442.50x = 196,675,397,361
  5. Step 5: Solve for x
    x = 196,675,397,361/249,442.50
  6. Step 6: Final answer
    x = 788,459.85

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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.