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Finding the Third Proportional to 542,974 and 714,021

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Solution

The third proportional to 542,974 and 714,021 is: 938,951.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,974 : 714,021 = 714,021 : x
  2. Step 2: Convert to fraction form
    542,974/714,021 = 714,021/x
  3. Step 3: Cross multiply
    542,974x = 714,021 × 714,021
  4. Step 4: Simplify right side
    542,974x = 509,825,988,441
  5. Step 5: Solve for x
    x = 509,825,988,441/542,974
  6. Step 6: Final answer
    x = 938,951.02

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.