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Finding the Third Proportional to 263,011.50 and 575,228.25

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Solution

The third proportional to 263,011.50 and 575,228.25 is: 1,258,072.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,011.50 : 575,228.25 = 575,228.25 : x
  2. Step 2: Convert to fraction form
    263,011.50/575,228.25 = 575,228.25/x
  3. Step 3: Cross multiply
    263,011.50x = 575,228.25 × 575,228.25
  4. Step 4: Simplify right side
    263,011.50x = 330,887,539,598.06
  5. Step 5: Solve for x
    x = 330,887,539,598.06/263,011.50
  6. Step 6: Final answer
    x = 1,258,072.52

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