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Finding the Third Proportional to 263,040 and 575,292

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Solution

The third proportional to 263,040 and 575,292 is: 1,258,215.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,040 : 575,292 = 575,292 : x
  2. Step 2: Convert to fraction form
    263,040/575,292 = 575,292/x
  3. Step 3: Cross multiply
    263,040x = 575,292 × 575,292
  4. Step 4: Simplify right side
    263,040x = 330,960,885,264
  5. Step 5: Solve for x
    x = 330,960,885,264/263,040
  6. Step 6: Final answer
    x = 1,258,215.04

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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.