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Finding the Third Proportional to 322,499 and 702,101

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Solution

The third proportional to 322,499 and 702,101 is: 1,528,518.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,499 : 702,101 = 702,101 : x
  2. Step 2: Convert to fraction form
    322,499/702,101 = 702,101/x
  3. Step 3: Cross multiply
    322,499x = 702,101 × 702,101
  4. Step 4: Simplify right side
    322,499x = 492,945,814,201
  5. Step 5: Solve for x
    x = 492,945,814,201/322,499
  6. Step 6: Final answer
    x = 1,528,518.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.