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Finding the Third Proportional to 332,546 and 805,061

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Solution

The third proportional to 332,546 and 805,061 is: 1,948,973.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,546 : 805,061 = 805,061 : x
  2. Step 2: Convert to fraction form
    332,546/805,061 = 805,061/x
  3. Step 3: Cross multiply
    332,546x = 805,061 × 805,061
  4. Step 4: Simplify right side
    332,546x = 648,123,213,721
  5. Step 5: Solve for x
    x = 648,123,213,721/332,546
  6. Step 6: Final answer
    x = 1,948,973.12

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.