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Finding the Third Proportional to 266,005 and 583,688

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Solution

The third proportional to 266,005 and 583,688 is: 1,280,771.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,005 : 583,688 = 583,688 : x
  2. Step 2: Convert to fraction form
    266,005/583,688 = 583,688/x
  3. Step 3: Cross multiply
    266,005x = 583,688 × 583,688
  4. Step 4: Simplify right side
    266,005x = 340,691,681,344
  5. Step 5: Solve for x
    x = 340,691,681,344/266,005
  6. Step 6: Final answer
    x = 1,280,771.72

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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.