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Finding the Third Proportional to 266,053 and 576,333

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Solution

The third proportional to 266,053 and 576,333 is: 1,248,472.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,053 : 576,333 = 576,333 : x
  2. Step 2: Convert to fraction form
    266,053/576,333 = 576,333/x
  3. Step 3: Cross multiply
    266,053x = 576,333 × 576,333
  4. Step 4: Simplify right side
    266,053x = 332,159,726,889
  5. Step 5: Solve for x
    x = 332,159,726,889/266,053
  6. Step 6: Final answer
    x = 1,248,472.02

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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.