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Finding the Third Proportional to 310,329 and 474,511

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Solution

The third proportional to 310,329 and 474,511 is: 725,554.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,329 : 474,511 = 474,511 : x
  2. Step 2: Convert to fraction form
    310,329/474,511 = 474,511/x
  3. Step 3: Cross multiply
    310,329x = 474,511 × 474,511
  4. Step 4: Simplify right side
    310,329x = 225,160,689,121
  5. Step 5: Solve for x
    x = 225,160,689,121/310,329
  6. Step 6: Final answer
    x = 725,554.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.