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Finding the Third Proportional to 333,164 and 474,826

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Solution

The third proportional to 333,164 and 474,826 is: 676,722.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,164 : 474,826 = 474,826 : x
  2. Step 2: Convert to fraction form
    333,164/474,826 = 474,826/x
  3. Step 3: Cross multiply
    333,164x = 474,826 × 474,826
  4. Step 4: Simplify right side
    333,164x = 225,459,730,276
  5. Step 5: Solve for x
    x = 225,459,730,276/333,164
  6. Step 6: Final answer
    x = 676,722.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.