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Finding the Third Proportional to 322,836 and 750,210

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Solution

The third proportional to 322,836 and 750,210 is: 1,743,346.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,836 : 750,210 = 750,210 : x
  2. Step 2: Convert to fraction form
    322,836/750,210 = 750,210/x
  3. Step 3: Cross multiply
    322,836x = 750,210 × 750,210
  4. Step 4: Simplify right side
    322,836x = 562,815,044,100
  5. Step 5: Solve for x
    x = 562,815,044,100/322,836
  6. Step 6: Final answer
    x = 1,743,346.60

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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.