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Finding the Third Proportional to 525,724 and 743,888

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Solution

The third proportional to 525,724 and 743,888 is: 1,052,585.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,724 : 743,888 = 743,888 : x
  2. Step 2: Convert to fraction form
    525,724/743,888 = 743,888/x
  3. Step 3: Cross multiply
    525,724x = 743,888 × 743,888
  4. Step 4: Simplify right side
    525,724x = 553,369,356,544
  5. Step 5: Solve for x
    x = 553,369,356,544/525,724
  6. Step 6: Final answer
    x = 1,052,585.30

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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.