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Finding the Third Proportional to 542,862 and 779,017.50

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Solution

The third proportional to 542,862 and 779,017.50 is: 1,117,905.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,862 : 779,017.50 = 779,017.50 : x
  2. Step 2: Convert to fraction form
    542,862/779,017.50 = 779,017.50/x
  3. Step 3: Cross multiply
    542,862x = 779,017.50 × 779,017.50
  4. Step 4: Simplify right side
    542,862x = 606,868,265,306.25
  5. Step 5: Solve for x
    x = 606,868,265,306.25/542,862
  6. Step 6: Final answer
    x = 1,117,905.22

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.