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Finding the Third Proportional to 552,860 and 846,764

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Solution

The third proportional to 552,860 and 846,764 is: 1,296,909.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,860 : 846,764 = 846,764 : x
  2. Step 2: Convert to fraction form
    552,860/846,764 = 846,764/x
  3. Step 3: Cross multiply
    552,860x = 846,764 × 846,764
  4. Step 4: Simplify right side
    552,860x = 717,009,271,696
  5. Step 5: Solve for x
    x = 717,009,271,696/552,860
  6. Step 6: Final answer
    x = 1,296,909.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.