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Finding the Third Proportional to 349,062.75 and 533,740.50

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Solution

The third proportional to 349,062.75 and 533,740.50 is: 816,125.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,062.75 : 533,740.50 = 533,740.50 : x
  2. Step 2: Convert to fraction form
    349,062.75/533,740.50 = 533,740.50/x
  3. Step 3: Cross multiply
    349,062.75x = 533,740.50 × 533,740.50
  4. Step 4: Simplify right side
    349,062.75x = 284,878,921,340.25
  5. Step 5: Solve for x
    x = 284,878,921,340.25/349,062.75
  6. Step 6: Final answer
    x = 816,125.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.