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Finding the Third Proportional to 542,952 and 713,987

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Solution

The third proportional to 542,952 and 713,987 is: 938,899.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,952 : 713,987 = 713,987 : x
  2. Step 2: Convert to fraction form
    542,952/713,987 = 713,987/x
  3. Step 3: Cross multiply
    542,952x = 713,987 × 713,987
  4. Step 4: Simplify right side
    542,952x = 509,777,436,169
  5. Step 5: Solve for x
    x = 509,777,436,169/542,952
  6. Step 6: Final answer
    x = 938,899.64

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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.