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Finding the Third Proportional to 299,580 and 651,648

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Solution

The third proportional to 299,580 and 651,648 is: 1,417,468.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,580 : 651,648 = 651,648 : x
  2. Step 2: Convert to fraction form
    299,580/651,648 = 651,648/x
  3. Step 3: Cross multiply
    299,580x = 651,648 × 651,648
  4. Step 4: Simplify right side
    299,580x = 424,645,115,904
  5. Step 5: Solve for x
    x = 424,645,115,904/299,580
  6. Step 6: Final answer
    x = 1,417,468.18

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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.