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Finding the Third Proportional to 526,630 and 752,558

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Solution

The third proportional to 526,630 and 752,558 is: 1,075,410.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,630 : 752,558 = 752,558 : x
  2. Step 2: Convert to fraction form
    526,630/752,558 = 752,558/x
  3. Step 3: Cross multiply
    526,630x = 752,558 × 752,558
  4. Step 4: Simplify right side
    526,630x = 566,343,543,364
  5. Step 5: Solve for x
    x = 566,343,543,364/526,630
  6. Step 6: Final answer
    x = 1,075,410.71

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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.