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Finding the Third Proportional to 255,015 and 560,358

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Solution

The third proportional to 255,015 and 560,358 is: 1,231,304.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,015 : 560,358 = 560,358 : x
  2. Step 2: Convert to fraction form
    255,015/560,358 = 560,358/x
  3. Step 3: Cross multiply
    255,015x = 560,358 × 560,358
  4. Step 4: Simplify right side
    255,015x = 314,001,088,164
  5. Step 5: Solve for x
    x = 314,001,088,164/255,015
  6. Step 6: Final answer
    x = 1,231,304.39

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Why These Related Problems?

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