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Finding the Third Proportional to 263,024.25 and 575,266.25

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Solution

The third proportional to 263,024.25 and 575,266.25 is: 1,258,177.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,024.25 : 575,266.25 = 575,266.25 : x
  2. Step 2: Convert to fraction form
    263,024.25/575,266.25 = 575,266.25/x
  3. Step 3: Cross multiply
    263,024.25x = 575,266.25 × 575,266.25
  4. Step 4: Simplify right side
    263,024.25x = 330,931,258,389.06
  5. Step 5: Solve for x
    x = 330,931,258,389.06/263,024.25
  6. Step 6: Final answer
    x = 1,258,177.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.