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Finding the Third Proportional to 249,782 and 374,680

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Solution

The third proportional to 249,782 and 374,680 is: 562,030.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,782 : 374,680 = 374,680 : x
  2. Step 2: Convert to fraction form
    249,782/374,680 = 374,680/x
  3. Step 3: Cross multiply
    249,782x = 374,680 × 374,680
  4. Step 4: Simplify right side
    249,782x = 140,385,102,400
  5. Step 5: Solve for x
    x = 140,385,102,400/249,782
  6. Step 6: Final answer
    x = 562,030.50

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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.