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Finding the Third Proportional to 263,030 and 575,279

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Solution

The third proportional to 263,030 and 575,279 is: 1,258,206.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,030 : 575,279 = 575,279 : x
  2. Step 2: Convert to fraction form
    263,030/575,279 = 575,279/x
  3. Step 3: Cross multiply
    263,030x = 575,279 × 575,279
  4. Step 4: Simplify right side
    263,030x = 330,945,927,841
  5. Step 5: Solve for x
    x = 330,945,927,841/263,030
  6. Step 6: Final answer
    x = 1,258,206.01

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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.