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Finding the Third Proportional to 268,259 and 558,547

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Solution

The third proportional to 268,259 and 558,547 is: 1,162,960.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,259 : 558,547 = 558,547 : x
  2. Step 2: Convert to fraction form
    268,259/558,547 = 558,547/x
  3. Step 3: Cross multiply
    268,259x = 558,547 × 558,547
  4. Step 4: Simplify right side
    268,259x = 311,974,751,209
  5. Step 5: Solve for x
    x = 311,974,751,209/268,259
  6. Step 6: Final answer
    x = 1,162,960.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.