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Finding the Third Proportional to 384,604 and 835,548

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Solution

The third proportional to 384,604 and 835,548 is: 1,815,218.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,604 : 835,548 = 835,548 : x
  2. Step 2: Convert to fraction form
    384,604/835,548 = 835,548/x
  3. Step 3: Cross multiply
    384,604x = 835,548 × 835,548
  4. Step 4: Simplify right side
    384,604x = 698,140,460,304
  5. Step 5: Solve for x
    x = 698,140,460,304/384,604
  6. Step 6: Final answer
    x = 1,815,218.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.