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Finding the Third Proportional to 534,214 and 831,959

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Solution

The third proportional to 534,214 and 831,959 is: 1,295,652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,214 : 831,959 = 831,959 : x
  2. Step 2: Convert to fraction form
    534,214/831,959 = 831,959/x
  3. Step 3: Cross multiply
    534,214x = 831,959 × 831,959
  4. Step 4: Simplify right side
    534,214x = 692,155,777,681
  5. Step 5: Solve for x
    x = 692,155,777,681/534,214
  6. Step 6: Final answer
    x = 1,295,652.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.