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Finding the Third Proportional to 211,587 and 327,829.50

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Solution

The third proportional to 211,587 and 327,829.50 is: 507,933.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,587 : 327,829.50 = 327,829.50 : x
  2. Step 2: Convert to fraction form
    211,587/327,829.50 = 327,829.50/x
  3. Step 3: Cross multiply
    211,587x = 327,829.50 × 327,829.50
  4. Step 4: Simplify right side
    211,587x = 107,472,181,070.25
  5. Step 5: Solve for x
    x = 107,472,181,070.25/211,587
  6. Step 6: Final answer
    x = 507,933.76

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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.