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Finding the Third Proportional to 407,360 and 894,964

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Solution

The third proportional to 407,360 and 894,964 is: 1,966,222.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,360 : 894,964 = 894,964 : x
  2. Step 2: Convert to fraction form
    407,360/894,964 = 894,964/x
  3. Step 3: Cross multiply
    407,360x = 894,964 × 894,964
  4. Step 4: Simplify right side
    407,360x = 800,960,561,296
  5. Step 5: Solve for x
    x = 800,960,561,296/407,360
  6. Step 6: Final answer
    x = 1,966,222.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.