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Finding the Third Proportional to 574,088 and 896,016

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Solution

The third proportional to 574,088 and 896,016 is: 1,398,469.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,088 : 896,016 = 896,016 : x
  2. Step 2: Convert to fraction form
    574,088/896,016 = 896,016/x
  3. Step 3: Cross multiply
    574,088x = 896,016 × 896,016
  4. Step 4: Simplify right side
    574,088x = 802,844,672,256
  5. Step 5: Solve for x
    x = 802,844,672,256/574,088
  6. Step 6: Final answer
    x = 1,398,469.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.