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Finding the Third Proportional to 425,748.75 and 917,593.25

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Solution

The third proportional to 425,748.75 and 917,593.25 is: 1,977,639.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,748.75 : 917,593.25 = 917,593.25 : x
  2. Step 2: Convert to fraction form
    425,748.75/917,593.25 = 917,593.25/x
  3. Step 3: Cross multiply
    425,748.75x = 917,593.25 × 917,593.25
  4. Step 4: Simplify right side
    425,748.75x = 841,977,372,445.56
  5. Step 5: Solve for x
    x = 841,977,372,445.56/425,748.75
  6. Step 6: Final answer
    x = 1,977,639.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.