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Finding the Third Proportional to 299,574 and 651,636

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Solution

The third proportional to 299,574 and 651,636 is: 1,417,444.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,574 : 651,636 = 651,636 : x
  2. Step 2: Convert to fraction form
    299,574/651,636 = 651,636/x
  3. Step 3: Cross multiply
    299,574x = 651,636 × 651,636
  4. Step 4: Simplify right side
    299,574x = 424,629,476,496
  5. Step 5: Solve for x
    x = 424,629,476,496/299,574
  6. Step 6: Final answer
    x = 1,417,444.36

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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.