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Finding the Third Proportional to 241,987.50 and 499,513.50

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Solution

The third proportional to 241,987.50 and 499,513.50 is: 1,031,101.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,987.50 : 499,513.50 = 499,513.50 : x
  2. Step 2: Convert to fraction form
    241,987.50/499,513.50 = 499,513.50/x
  3. Step 3: Cross multiply
    241,987.50x = 499,513.50 × 499,513.50
  4. Step 4: Simplify right side
    241,987.50x = 249,513,736,682.25
  5. Step 5: Solve for x
    x = 249,513,736,682.25/241,987.50
  6. Step 6: Final answer
    x = 1,031,101.76

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.