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Finding the Third Proportional to 386,172 and 807,634.50

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Solution

The third proportional to 386,172 and 807,634.50 is: 1,689,075.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,172 : 807,634.50 = 807,634.50 : x
  2. Step 2: Convert to fraction form
    386,172/807,634.50 = 807,634.50/x
  3. Step 3: Cross multiply
    386,172x = 807,634.50 × 807,634.50
  4. Step 4: Simplify right side
    386,172x = 652,273,485,590.25
  5. Step 5: Solve for x
    x = 652,273,485,590.25/386,172
  6. Step 6: Final answer
    x = 1,689,075.04

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.