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Finding the Third Proportional to 526,849 and 752,855.75

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Solution

The third proportional to 526,849 and 752,855.75 is: 1,075,814.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,849 : 752,855.75 = 752,855.75 : x
  2. Step 2: Convert to fraction form
    526,849/752,855.75 = 752,855.75/x
  3. Step 3: Cross multiply
    526,849x = 752,855.75 × 752,855.75
  4. Step 4: Simplify right side
    526,849x = 566,791,780,308.06
  5. Step 5: Solve for x
    x = 566,791,780,308.06/526,849
  6. Step 6: Final answer
    x = 1,075,814.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.