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Finding the Third Proportional to 364,930 and 783,802

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Solution

The third proportional to 364,930 and 783,802 is: 1,683,461.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,930 : 783,802 = 783,802 : x
  2. Step 2: Convert to fraction form
    364,930/783,802 = 783,802/x
  3. Step 3: Cross multiply
    364,930x = 783,802 × 783,802
  4. Step 4: Simplify right side
    364,930x = 614,345,575,204
  5. Step 5: Solve for x
    x = 614,345,575,204/364,930
  6. Step 6: Final answer
    x = 1,683,461.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.