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Finding the Third Proportional to 265,693 and 574,802

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Solution

The third proportional to 265,693 and 574,802 is: 1,243,530.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,693 : 574,802 = 574,802 : x
  2. Step 2: Convert to fraction form
    265,693/574,802 = 574,802/x
  3. Step 3: Cross multiply
    265,693x = 574,802 × 574,802
  4. Step 4: Simplify right side
    265,693x = 330,397,339,204
  5. Step 5: Solve for x
    x = 330,397,339,204/265,693
  6. Step 6: Final answer
    x = 1,243,530.46

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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.