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Finding the Third Proportional to 485,031.50 and 1,001,200.50

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Solution

The third proportional to 485,031.50 and 1,001,200.50 is: 2,066,674.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,031.50 : 1,001,200.50 = 1,001,200.50 : x
  2. Step 2: Convert to fraction form
    485,031.50/1,001,200.50 = 1,001,200.50/x
  3. Step 3: Cross multiply
    485,031.50x = 1,001,200.50 × 1,001,200.50
  4. Step 4: Simplify right side
    485,031.50x = 1,002,402,441,200.25
  5. Step 5: Solve for x
    x = 1,002,402,441,200.25/485,031.50
  6. Step 6: Final answer
    x = 2,066,674.93

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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.