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Finding the Third Proportional to 549,254.25 and 831,627

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Solution

The third proportional to 549,254.25 and 831,627 is: 1,259,168.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,254.25 : 831,627 = 831,627 : x
  2. Step 2: Convert to fraction form
    549,254.25/831,627 = 831,627/x
  3. Step 3: Cross multiply
    549,254.25x = 831,627 × 831,627
  4. Step 4: Simplify right side
    549,254.25x = 691,603,467,129
  5. Step 5: Solve for x
    x = 691,603,467,129/549,254.25
  6. Step 6: Final answer
    x = 1,259,168.17

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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.