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Finding the Third Proportional to 321,748 and 423,102

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Solution

The third proportional to 321,748 and 423,102 is: 556,383.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,748 : 423,102 = 423,102 : x
  2. Step 2: Convert to fraction form
    321,748/423,102 = 423,102/x
  3. Step 3: Cross multiply
    321,748x = 423,102 × 423,102
  4. Step 4: Simplify right side
    321,748x = 179,015,302,404
  5. Step 5: Solve for x
    x = 179,015,302,404/321,748
  6. Step 6: Final answer
    x = 556,383.57

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.