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Finding the Third Proportional to 266,628 and 424,026

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Solution

The third proportional to 266,628 and 424,026 is: 674,340.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,628 : 424,026 = 424,026 : x
  2. Step 2: Convert to fraction form
    266,628/424,026 = 424,026/x
  3. Step 3: Cross multiply
    266,628x = 424,026 × 424,026
  4. Step 4: Simplify right side
    266,628x = 179,798,048,676
  5. Step 5: Solve for x
    x = 179,798,048,676/266,628
  6. Step 6: Final answer
    x = 674,340.46

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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.