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Finding the Third Proportional to 542,368.50 and 1,129,628

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Solution

The third proportional to 542,368.50 and 1,129,628 is: 2,352,753.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,368.50 : 1,129,628 = 1,129,628 : x
  2. Step 2: Convert to fraction form
    542,368.50/1,129,628 = 1,129,628/x
  3. Step 3: Cross multiply
    542,368.50x = 1,129,628 × 1,129,628
  4. Step 4: Simplify right side
    542,368.50x = 1,276,059,418,384
  5. Step 5: Solve for x
    x = 1,276,059,418,384/542,368.50
  6. Step 6: Final answer
    x = 2,352,753.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.