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Finding the Third Proportional to 370,685 and 807,898

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Solution

The third proportional to 370,685 and 807,898 is: 1,760,791.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,685 : 807,898 = 807,898 : x
  2. Step 2: Convert to fraction form
    370,685/807,898 = 807,898/x
  3. Step 3: Cross multiply
    370,685x = 807,898 × 807,898
  4. Step 4: Simplify right side
    370,685x = 652,699,178,404
  5. Step 5: Solve for x
    x = 652,699,178,404/370,685
  6. Step 6: Final answer
    x = 1,760,791.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.