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Finding the Third Proportional to 549,288 and 831,681

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Solution

The third proportional to 549,288 and 831,681 is: 1,259,254.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,288 : 831,681 = 831,681 : x
  2. Step 2: Convert to fraction form
    549,288/831,681 = 831,681/x
  3. Step 3: Cross multiply
    549,288x = 831,681 × 831,681
  4. Step 4: Simplify right side
    549,288x = 691,693,285,761
  5. Step 5: Solve for x
    x = 691,693,285,761/549,288
  6. Step 6: Final answer
    x = 1,259,254.32

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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.