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Finding the Third Proportional to 549,920.25 and 846,225

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Solution

The third proportional to 549,920.25 and 846,225 is: 1,302,182.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,920.25 : 846,225 = 846,225 : x
  2. Step 2: Convert to fraction form
    549,920.25/846,225 = 846,225/x
  3. Step 3: Cross multiply
    549,920.25x = 846,225 × 846,225
  4. Step 4: Simplify right side
    549,920.25x = 716,096,750,625
  5. Step 5: Solve for x
    x = 716,096,750,625/549,920.25
  6. Step 6: Final answer
    x = 1,302,182.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.