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Finding the Third Proportional to 385,633 and 835,623

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Solution

The third proportional to 385,633 and 835,623 is: 1,810,700.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,633 : 835,623 = 835,623 : x
  2. Step 2: Convert to fraction form
    385,633/835,623 = 835,623/x
  3. Step 3: Cross multiply
    385,633x = 835,623 × 835,623
  4. Step 4: Simplify right side
    385,633x = 698,265,798,129
  5. Step 5: Solve for x
    x = 698,265,798,129/385,633
  6. Step 6: Final answer
    x = 1,810,700.32

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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.