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Finding the Third Proportional to 542,970 and 714,015

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Solution

The third proportional to 542,970 and 714,015 is: 938,942.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,970 : 714,015 = 714,015 : x
  2. Step 2: Convert to fraction form
    542,970/714,015 = 714,015/x
  3. Step 3: Cross multiply
    542,970x = 714,015 × 714,015
  4. Step 4: Simplify right side
    542,970x = 509,817,420,225
  5. Step 5: Solve for x
    x = 509,817,420,225/542,970
  6. Step 6: Final answer
    x = 938,942.15

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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.