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Finding the Third Proportional to 549,182.50 and 821,785

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Solution

The third proportional to 549,182.50 and 821,785 is: 1,229,701.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,182.50 : 821,785 = 821,785 : x
  2. Step 2: Convert to fraction form
    549,182.50/821,785 = 821,785/x
  3. Step 3: Cross multiply
    549,182.50x = 821,785 × 821,785
  4. Step 4: Simplify right side
    549,182.50x = 675,330,586,225
  5. Step 5: Solve for x
    x = 675,330,586,225/549,182.50
  6. Step 6: Final answer
    x = 1,229,701.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.