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Finding the Third Proportional to 525,708 and 743,864

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Solution

The third proportional to 525,708 and 743,864 is: 1,052,549.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,708 : 743,864 = 743,864 : x
  2. Step 2: Convert to fraction form
    525,708/743,864 = 743,864/x
  3. Step 3: Cross multiply
    525,708x = 743,864 × 743,864
  4. Step 4: Simplify right side
    525,708x = 553,333,650,496
  5. Step 5: Solve for x
    x = 553,333,650,496/525,708
  6. Step 6: Final answer
    x = 1,052,549.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.