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Finding the Third Proportional to 249,778 and 374,675

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Solution

The third proportional to 249,778 and 374,675 is: 562,024.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,778 : 374,675 = 374,675 : x
  2. Step 2: Convert to fraction form
    249,778/374,675 = 374,675/x
  3. Step 3: Cross multiply
    249,778x = 374,675 × 374,675
  4. Step 4: Simplify right side
    249,778x = 140,381,355,625
  5. Step 5: Solve for x
    x = 140,381,355,625/249,778
  6. Step 6: Final answer
    x = 562,024.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.