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Finding the Third Proportional to 414,798 and 659,554

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Solution

The third proportional to 414,798 and 659,554 is: 1,048,730.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,798 : 659,554 = 659,554 : x
  2. Step 2: Convert to fraction form
    414,798/659,554 = 659,554/x
  3. Step 3: Cross multiply
    414,798x = 659,554 × 659,554
  4. Step 4: Simplify right side
    414,798x = 435,011,478,916
  5. Step 5: Solve for x
    x = 435,011,478,916/414,798
  6. Step 6: Final answer
    x = 1,048,730.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.