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Finding the Third Proportional to 385,576 and 835,514

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Solution

The third proportional to 385,576 and 835,514 is: 1,810,495.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,576 : 835,514 = 835,514 : x
  2. Step 2: Convert to fraction form
    385,576/835,514 = 835,514/x
  3. Step 3: Cross multiply
    385,576x = 835,514 × 835,514
  4. Step 4: Simplify right side
    385,576x = 698,083,644,196
  5. Step 5: Solve for x
    x = 698,083,644,196/385,576
  6. Step 6: Final answer
    x = 1,810,495.58

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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.