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Finding the Third Proportional to 393,528 and 860,928

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Solution

The third proportional to 393,528 and 860,928 is: 1,883,467.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,528 : 860,928 = 860,928 : x
  2. Step 2: Convert to fraction form
    393,528/860,928 = 860,928/x
  3. Step 3: Cross multiply
    393,528x = 860,928 × 860,928
  4. Step 4: Simplify right side
    393,528x = 741,197,021,184
  5. Step 5: Solve for x
    x = 741,197,021,184/393,528
  6. Step 6: Final answer
    x = 1,883,467.05

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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.