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Finding the Third Proportional to 406,260 and 880,314

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Solution

The third proportional to 406,260 and 880,314 is: 1,907,529.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,260 : 880,314 = 880,314 : x
  2. Step 2: Convert to fraction form
    406,260/880,314 = 880,314/x
  3. Step 3: Cross multiply
    406,260x = 880,314 × 880,314
  4. Step 4: Simplify right side
    406,260x = 774,952,738,596
  5. Step 5: Solve for x
    x = 774,952,738,596/406,260
  6. Step 6: Final answer
    x = 1,907,529.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.