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Finding the Third Proportional to 299,604 and 651,684

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Solution

The third proportional to 299,604 and 651,684 is: 1,417,511.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,604 : 651,684 = 651,684 : x
  2. Step 2: Convert to fraction form
    299,604/651,684 = 651,684/x
  3. Step 3: Cross multiply
    299,604x = 651,684 × 651,684
  4. Step 4: Simplify right side
    299,604x = 424,692,035,856
  5. Step 5: Solve for x
    x = 424,692,035,856/299,604
  6. Step 6: Final answer
    x = 1,417,511.23

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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.