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Finding the Third Proportional to 256,708 and 558,164

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Solution

The third proportional to 256,708 and 558,164 is: 1,213,624.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,708 : 558,164 = 558,164 : x
  2. Step 2: Convert to fraction form
    256,708/558,164 = 558,164/x
  3. Step 3: Cross multiply
    256,708x = 558,164 × 558,164
  4. Step 4: Simplify right side
    256,708x = 311,547,050,896
  5. Step 5: Solve for x
    x = 311,547,050,896/256,708
  6. Step 6: Final answer
    x = 1,213,624.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.