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Finding the Third Proportional to 249,939 and 542,526

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Solution

The third proportional to 249,939 and 542,526 is: 1,177,625.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,939 : 542,526 = 542,526 : x
  2. Step 2: Convert to fraction form
    249,939/542,526 = 542,526/x
  3. Step 3: Cross multiply
    249,939x = 542,526 × 542,526
  4. Step 4: Simplify right side
    249,939x = 294,334,460,676
  5. Step 5: Solve for x
    x = 294,334,460,676/249,939
  6. Step 6: Final answer
    x = 1,177,625.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.