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Finding the Third Proportional to 584,766 and 880,911

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Solution

The third proportional to 584,766 and 880,911 is: 1,327,033.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,766 : 880,911 = 880,911 : x
  2. Step 2: Convert to fraction form
    584,766/880,911 = 880,911/x
  3. Step 3: Cross multiply
    584,766x = 880,911 × 880,911
  4. Step 4: Simplify right side
    584,766x = 776,004,189,921
  5. Step 5: Solve for x
    x = 776,004,189,921/584,766
  6. Step 6: Final answer
    x = 1,327,033.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.