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Finding the Third Proportional to 263,038 and 575,282

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Solution

The third proportional to 263,038 and 575,282 is: 1,258,180.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,038 : 575,282 = 575,282 : x
  2. Step 2: Convert to fraction form
    263,038/575,282 = 575,282/x
  3. Step 3: Cross multiply
    263,038x = 575,282 × 575,282
  4. Step 4: Simplify right side
    263,038x = 330,949,379,524
  5. Step 5: Solve for x
    x = 330,949,379,524/263,038
  6. Step 6: Final answer
    x = 1,258,180.87

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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.