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Finding the Third Proportional to 475,552.13 and 967,707

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Solution

The third proportional to 475,552.13 and 967,707 is: 1,969,199.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,552.13 : 967,707 = 967,707 : x
  2. Step 2: Convert to fraction form
    475,552.13/967,707 = 967,707/x
  3. Step 3: Cross multiply
    475,552.13x = 967,707 × 967,707
  4. Step 4: Simplify right side
    475,552.13x = 936,456,837,849
  5. Step 5: Solve for x
    x = 936,456,837,849/475,552.13
  6. Step 6: Final answer
    x = 1,969,199.14

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.