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Finding the Third Proportional to 333,175 and 474,841

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Solution

The third proportional to 333,175 and 474,841 is: 676,743.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,175 : 474,841 = 474,841 : x
  2. Step 2: Convert to fraction form
    333,175/474,841 = 474,841/x
  3. Step 3: Cross multiply
    333,175x = 474,841 × 474,841
  4. Step 4: Simplify right side
    333,175x = 225,473,975,281
  5. Step 5: Solve for x
    x = 225,473,975,281/333,175
  6. Step 6: Final answer
    x = 676,743.38

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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.