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Finding the Third Proportional to 526,626 and 752,553

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Solution

The third proportional to 526,626 and 752,553 is: 1,075,404.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,626 : 752,553 = 752,553 : x
  2. Step 2: Convert to fraction form
    526,626/752,553 = 752,553/x
  3. Step 3: Cross multiply
    526,626x = 752,553 × 752,553
  4. Step 4: Simplify right side
    526,626x = 566,336,017,809
  5. Step 5: Solve for x
    x = 566,336,017,809/526,626
  6. Step 6: Final answer
    x = 1,075,404.59

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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.