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Finding the Third Proportional to 249,288 and 386,733

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Solution

The third proportional to 249,288 and 386,733 is: 599,958.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,288 : 386,733 = 386,733 : x
  2. Step 2: Convert to fraction form
    249,288/386,733 = 386,733/x
  3. Step 3: Cross multiply
    249,288x = 386,733 × 386,733
  4. Step 4: Simplify right side
    249,288x = 149,562,413,289
  5. Step 5: Solve for x
    x = 149,562,413,289/249,288
  6. Step 6: Final answer
    x = 599,958.33

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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.