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Finding the Third Proportional to 406,248 and 880,296

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Solution

The third proportional to 406,248 and 880,296 is: 1,907,507.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,248 : 880,296 = 880,296 : x
  2. Step 2: Convert to fraction form
    406,248/880,296 = 880,296/x
  3. Step 3: Cross multiply
    406,248x = 880,296 × 880,296
  4. Step 4: Simplify right side
    406,248x = 774,921,047,616
  5. Step 5: Solve for x
    x = 774,921,047,616/406,248
  6. Step 6: Final answer
    x = 1,907,507.35

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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.