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Finding the Third Proportional to 266,020 and 583,731

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Solution

The third proportional to 266,020 and 583,731 is: 1,280,888.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,020 : 583,731 = 583,731 : x
  2. Step 2: Convert to fraction form
    266,020/583,731 = 583,731/x
  3. Step 3: Cross multiply
    266,020x = 583,731 × 583,731
  4. Step 4: Simplify right side
    266,020x = 340,741,880,361
  5. Step 5: Solve for x
    x = 340,741,880,361/266,020
  6. Step 6: Final answer
    x = 1,280,888.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.