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Finding the Third Proportional to 350,703 and 542,422.50

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Solution

The third proportional to 350,703 and 542,422.50 is: 838,949.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,703 : 542,422.50 = 542,422.50 : x
  2. Step 2: Convert to fraction form
    350,703/542,422.50 = 542,422.50/x
  3. Step 3: Cross multiply
    350,703x = 542,422.50 × 542,422.50
  4. Step 4: Simplify right side
    350,703x = 294,222,168,506.25
  5. Step 5: Solve for x
    x = 294,222,168,506.25/350,703
  6. Step 6: Final answer
    x = 838,949.68

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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.