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Finding the Third Proportional to 299,565 and 651,627

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Solution

The third proportional to 299,565 and 651,627 is: 1,417,447.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,565 : 651,627 = 651,627 : x
  2. Step 2: Convert to fraction form
    299,565/651,627 = 651,627/x
  3. Step 3: Cross multiply
    299,565x = 651,627 × 651,627
  4. Step 4: Simplify right side
    299,565x = 424,617,747,129
  5. Step 5: Solve for x
    x = 424,617,747,129/299,565
  6. Step 6: Final answer
    x = 1,417,447.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.