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Finding the Third Proportional to 584,797 and 881,516

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Solution

The third proportional to 584,797 and 881,516 is: 1,328,786.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,797 : 881,516 = 881,516 : x
  2. Step 2: Convert to fraction form
    584,797/881,516 = 881,516/x
  3. Step 3: Cross multiply
    584,797x = 881,516 × 881,516
  4. Step 4: Simplify right side
    584,797x = 777,070,458,256
  5. Step 5: Solve for x
    x = 777,070,458,256/584,797
  6. Step 6: Final answer
    x = 1,328,786.67

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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.