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Finding the Third Proportional to 542,972 and 714,009

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Solution

The third proportional to 542,972 and 714,009 is: 938,922.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,972 : 714,009 = 714,009 : x
  2. Step 2: Convert to fraction form
    542,972/714,009 = 714,009/x
  3. Step 3: Cross multiply
    542,972x = 714,009 × 714,009
  4. Step 4: Simplify right side
    542,972x = 509,808,852,081
  5. Step 5: Solve for x
    x = 509,808,852,081/542,972
  6. Step 6: Final answer
    x = 938,922.91

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