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Finding the Third Proportional to 266,220 and 576,747

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Solution

The third proportional to 266,220 and 576,747 is: 1,249,482.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,220 : 576,747 = 576,747 : x
  2. Step 2: Convert to fraction form
    266,220/576,747 = 576,747/x
  3. Step 3: Cross multiply
    266,220x = 576,747 × 576,747
  4. Step 4: Simplify right side
    266,220x = 332,637,102,009
  5. Step 5: Solve for x
    x = 332,637,102,009/266,220
  6. Step 6: Final answer
    x = 1,249,482.01

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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.