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Finding the Third Proportional to 255,555.75 and 560,319

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Solution

The third proportional to 255,555.75 and 560,319 is: 1,228,527.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,555.75 : 560,319 = 560,319 : x
  2. Step 2: Convert to fraction form
    255,555.75/560,319 = 560,319/x
  3. Step 3: Cross multiply
    255,555.75x = 560,319 × 560,319
  4. Step 4: Simplify right side
    255,555.75x = 313,957,381,761
  5. Step 5: Solve for x
    x = 313,957,381,761/255,555.75
  6. Step 6: Final answer
    x = 1,228,527.95

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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.