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Finding the Third Proportional to 350,011.13 and 542,980.69

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Solution

The third proportional to 350,011.13 and 542,980.69 is: 842,339.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,011.13 : 542,980.69 = 542,980.69 : x
  2. Step 2: Convert to fraction form
    350,011.13/542,980.69 = 542,980.69/x
  3. Step 3: Cross multiply
    350,011.13x = 542,980.69 × 542,980.69
  4. Step 4: Simplify right side
    350,011.13x = 294,828,026,997.97
  5. Step 5: Solve for x
    x = 294,828,026,997.97/350,011.13
  6. Step 6: Final answer
    x = 842,339.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.