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Finding the Third Proportional to 575,082.75 and 902,207.25

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Solution

The third proportional to 575,082.75 and 902,207.25 is: 1,415,410.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,082.75 : 902,207.25 = 902,207.25 : x
  2. Step 2: Convert to fraction form
    575,082.75/902,207.25 = 902,207.25/x
  3. Step 3: Cross multiply
    575,082.75x = 902,207.25 × 902,207.25
  4. Step 4: Simplify right side
    575,082.75x = 813,977,921,952.56
  5. Step 5: Solve for x
    x = 813,977,921,952.56/575,082.75
  6. Step 6: Final answer
    x = 1,415,410.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.