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Finding the Third Proportional to 249,122 and 386,810

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Solution

The third proportional to 249,122 and 386,810 is: 600,597.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,122 : 386,810 = 386,810 : x
  2. Step 2: Convert to fraction form
    249,122/386,810 = 386,810/x
  3. Step 3: Cross multiply
    249,122x = 386,810 × 386,810
  4. Step 4: Simplify right side
    249,122x = 149,621,976,100
  5. Step 5: Solve for x
    x = 149,621,976,100/249,122
  6. Step 6: Final answer
    x = 600,597.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.