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Finding the Third Proportional to 299,560 and 462,614

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Solution

The third proportional to 299,560 and 462,614 is: 714,420.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,560 : 462,614 = 462,614 : x
  2. Step 2: Convert to fraction form
    299,560/462,614 = 462,614/x
  3. Step 3: Cross multiply
    299,560x = 462,614 × 462,614
  4. Step 4: Simplify right side
    299,560x = 214,011,712,996
  5. Step 5: Solve for x
    x = 214,011,712,996/299,560
  6. Step 6: Final answer
    x = 714,420.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.