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Finding the Third Proportional to 322,752 and 750,000

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Solution

The third proportional to 322,752 and 750,000 is: 1,742,824.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,752 : 750,000 = 750,000 : x
  2. Step 2: Convert to fraction form
    322,752/750,000 = 750,000/x
  3. Step 3: Cross multiply
    322,752x = 750,000 × 750,000
  4. Step 4: Simplify right side
    322,752x = 562,500,000,000
  5. Step 5: Solve for x
    x = 562,500,000,000/322,752
  6. Step 6: Final answer
    x = 1,742,824.21

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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.