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Finding the Third Proportional to 542,912 and 750,192

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Solution

The third proportional to 542,912 and 750,192 is: 1,036,610.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,912 : 750,192 = 750,192 : x
  2. Step 2: Convert to fraction form
    542,912/750,192 = 750,192/x
  3. Step 3: Cross multiply
    542,912x = 750,192 × 750,192
  4. Step 4: Simplify right side
    542,912x = 562,788,036,864
  5. Step 5: Solve for x
    x = 562,788,036,864/542,912
  6. Step 6: Final answer
    x = 1,036,610.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.