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Finding the Third Proportional to 264,597.75 and 571,637.25

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Solution

The third proportional to 264,597.75 and 571,637.25 is: 1,234,965.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,597.75 : 571,637.25 = 571,637.25 : x
  2. Step 2: Convert to fraction form
    264,597.75/571,637.25 = 571,637.25/x
  3. Step 3: Cross multiply
    264,597.75x = 571,637.25 × 571,637.25
  4. Step 4: Simplify right side
    264,597.75x = 326,769,145,587.56
  5. Step 5: Solve for x
    x = 326,769,145,587.56/264,597.75
  6. Step 6: Final answer
    x = 1,234,965.70

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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.