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Finding the Third Proportional to 303,844 and 659,528

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Solution

The third proportional to 303,844 and 659,528 is: 1,431,580.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,844 : 659,528 = 659,528 : x
  2. Step 2: Convert to fraction form
    303,844/659,528 = 659,528/x
  3. Step 3: Cross multiply
    303,844x = 659,528 × 659,528
  4. Step 4: Simplify right side
    303,844x = 434,977,182,784
  5. Step 5: Solve for x
    x = 434,977,182,784/303,844
  6. Step 6: Final answer
    x = 1,431,580.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.