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Finding the Third Proportional to 247,785 and 524,548.50

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Solution

The third proportional to 247,785 and 524,548.50 is: 1,110,443.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,785 : 524,548.50 = 524,548.50 : x
  2. Step 2: Convert to fraction form
    247,785/524,548.50 = 524,548.50/x
  3. Step 3: Cross multiply
    247,785x = 524,548.50 × 524,548.50
  4. Step 4: Simplify right side
    247,785x = 275,151,128,852.25
  5. Step 5: Solve for x
    x = 275,151,128,852.25/247,785
  6. Step 6: Final answer
    x = 1,110,443.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.