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Finding the Third Proportional to 450,047 and 960,358

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Solution

The third proportional to 450,047 and 960,358 is: 2,049,313.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,047 : 960,358 = 960,358 : x
  2. Step 2: Convert to fraction form
    450,047/960,358 = 960,358/x
  3. Step 3: Cross multiply
    450,047x = 960,358 × 960,358
  4. Step 4: Simplify right side
    450,047x = 922,287,488,164
  5. Step 5: Solve for x
    x = 922,287,488,164/450,047
  6. Step 6: Final answer
    x = 2,049,313.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.