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Finding the Third Proportional to 249,452 and 443,492

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Solution

The third proportional to 249,452 and 443,492 is: 788,468.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,452 : 443,492 = 443,492 : x
  2. Step 2: Convert to fraction form
    249,452/443,492 = 443,492/x
  3. Step 3: Cross multiply
    249,452x = 443,492 × 443,492
  4. Step 4: Simplify right side
    249,452x = 196,685,154,064
  5. Step 5: Solve for x
    x = 196,685,154,064/249,452
  6. Step 6: Final answer
    x = 788,468.94

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