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Finding the Third Proportional to 249,786 and 374,686

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Solution

The third proportional to 249,786 and 374,686 is: 562,039.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,786 : 374,686 = 374,686 : x
  2. Step 2: Convert to fraction form
    249,786/374,686 = 374,686/x
  3. Step 3: Cross multiply
    249,786x = 374,686 × 374,686
  4. Step 4: Simplify right side
    249,786x = 140,389,598,596
  5. Step 5: Solve for x
    x = 140,389,598,596/249,786
  6. Step 6: Final answer
    x = 562,039.50

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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.