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Finding the Third Proportional to 346,241 and 531,868

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Solution

The third proportional to 346,241 and 531,868 is: 817,013.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,241 : 531,868 = 531,868 : x
  2. Step 2: Convert to fraction form
    346,241/531,868 = 531,868/x
  3. Step 3: Cross multiply
    346,241x = 531,868 × 531,868
  4. Step 4: Simplify right side
    346,241x = 282,883,569,424
  5. Step 5: Solve for x
    x = 282,883,569,424/346,241
  6. Step 6: Final answer
    x = 817,013.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.