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Finding the Third Proportional to 371,026 and 813,062

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Solution

The third proportional to 371,026 and 813,062 is: 1,781,734.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,026 : 813,062 = 813,062 : x
  2. Step 2: Convert to fraction form
    371,026/813,062 = 813,062/x
  3. Step 3: Cross multiply
    371,026x = 813,062 × 813,062
  4. Step 4: Simplify right side
    371,026x = 661,069,815,844
  5. Step 5: Solve for x
    x = 661,069,815,844/371,026
  6. Step 6: Final answer
    x = 1,781,734.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.