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Finding the Third Proportional to 366,971 and 808,437

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Solution

The third proportional to 366,971 and 808,437 is: 1,780,986.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,971 : 808,437 = 808,437 : x
  2. Step 2: Convert to fraction form
    366,971/808,437 = 808,437/x
  3. Step 3: Cross multiply
    366,971x = 808,437 × 808,437
  4. Step 4: Simplify right side
    366,971x = 653,570,382,969
  5. Step 5: Solve for x
    x = 653,570,382,969/366,971
  6. Step 6: Final answer
    x = 1,780,986.46

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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.