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Finding the Third Proportional to 526,534 and 814,908

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Solution

The third proportional to 526,534 and 814,908 is: 1,261,219.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,534 : 814,908 = 814,908 : x
  2. Step 2: Convert to fraction form
    526,534/814,908 = 814,908/x
  3. Step 3: Cross multiply
    526,534x = 814,908 × 814,908
  4. Step 4: Simplify right side
    526,534x = 664,075,048,464
  5. Step 5: Solve for x
    x = 664,075,048,464/526,534
  6. Step 6: Final answer
    x = 1,261,219.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.