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Finding the Third Proportional to 266,618 and 424,011

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Solution

The third proportional to 266,618 and 424,011 is: 674,318.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,618 : 424,011 = 424,011 : x
  2. Step 2: Convert to fraction form
    266,618/424,011 = 424,011/x
  3. Step 3: Cross multiply
    266,618x = 424,011 × 424,011
  4. Step 4: Simplify right side
    266,618x = 179,785,328,121
  5. Step 5: Solve for x
    x = 179,785,328,121/266,618
  6. Step 6: Final answer
    x = 674,318.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.