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Finding the Third Proportional to 322,754 and 750,005

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Solution

The third proportional to 322,754 and 750,005 is: 1,742,836.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,754 : 750,005 = 750,005 : x
  2. Step 2: Convert to fraction form
    322,754/750,005 = 750,005/x
  3. Step 3: Cross multiply
    322,754x = 750,005 × 750,005
  4. Step 4: Simplify right side
    322,754x = 562,507,500,025
  5. Step 5: Solve for x
    x = 562,507,500,025/322,754
  6. Step 6: Final answer
    x = 1,742,836.65

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.