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Finding the Third Proportional to 303,693 and 666,432

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Solution

The third proportional to 303,693 and 666,432 is: 1,462,436.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,693 : 666,432 = 666,432 : x
  2. Step 2: Convert to fraction form
    303,693/666,432 = 666,432/x
  3. Step 3: Cross multiply
    303,693x = 666,432 × 666,432
  4. Step 4: Simplify right side
    303,693x = 444,131,610,624
  5. Step 5: Solve for x
    x = 444,131,610,624/303,693
  6. Step 6: Final answer
    x = 1,462,436.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.