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Finding the Third Proportional to 549,273 and 831,650

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Solution

The third proportional to 549,273 and 831,650 is: 1,259,194.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,273 : 831,650 = 831,650 : x
  2. Step 2: Convert to fraction form
    549,273/831,650 = 831,650/x
  3. Step 3: Cross multiply
    549,273x = 831,650 × 831,650
  4. Step 4: Simplify right side
    549,273x = 691,641,722,500
  5. Step 5: Solve for x
    x = 691,641,722,500/549,273
  6. Step 6: Final answer
    x = 1,259,194.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.