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Finding the Third Proportional to 526,023 and 752,157

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Solution

The third proportional to 526,023 and 752,157 is: 1,075,504.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,023 : 752,157 = 752,157 : x
  2. Step 2: Convert to fraction form
    526,023/752,157 = 752,157/x
  3. Step 3: Cross multiply
    526,023x = 752,157 × 752,157
  4. Step 4: Simplify right side
    526,023x = 565,740,152,649
  5. Step 5: Solve for x
    x = 565,740,152,649/526,023
  6. Step 6: Final answer
    x = 1,075,504.59

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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.