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Finding the Third Proportional to 343,777.50 and 516,314.25

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Solution

The third proportional to 343,777.50 and 516,314.25 is: 775,444.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,777.50 : 516,314.25 = 516,314.25 : x
  2. Step 2: Convert to fraction form
    343,777.50/516,314.25 = 516,314.25/x
  3. Step 3: Cross multiply
    343,777.50x = 516,314.25 × 516,314.25
  4. Step 4: Simplify right side
    343,777.50x = 266,580,404,753.06
  5. Step 5: Solve for x
    x = 266,580,404,753.06/343,777.50
  6. Step 6: Final answer
    x = 775,444.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.