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Finding the Third Proportional to 255,012 and 560,352

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Solution

The third proportional to 255,012 and 560,352 is: 1,231,292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,012 : 560,352 = 560,352 : x
  2. Step 2: Convert to fraction form
    255,012/560,352 = 560,352/x
  3. Step 3: Cross multiply
    255,012x = 560,352 × 560,352
  4. Step 4: Simplify right side
    255,012x = 313,994,363,904
  5. Step 5: Solve for x
    x = 313,994,363,904/255,012
  6. Step 6: Final answer
    x = 1,231,292.50

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.