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Finding the Third Proportional to 249,933 and 387,111

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Solution

The third proportional to 249,933 and 387,111 is: 599,580.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,933 : 387,111 = 387,111 : x
  2. Step 2: Convert to fraction form
    249,933/387,111 = 387,111/x
  3. Step 3: Cross multiply
    249,933x = 387,111 × 387,111
  4. Step 4: Simplify right side
    249,933x = 149,854,926,321
  5. Step 5: Solve for x
    x = 149,854,926,321/249,933
  6. Step 6: Final answer
    x = 599,580.39

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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.