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Finding the Third Proportional to 262,614 and 407,410

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Solution

The third proportional to 262,614 and 407,410 is: 632,041.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,614 : 407,410 = 407,410 : x
  2. Step 2: Convert to fraction form
    262,614/407,410 = 407,410/x
  3. Step 3: Cross multiply
    262,614x = 407,410 × 407,410
  4. Step 4: Simplify right side
    262,614x = 165,982,908,100
  5. Step 5: Solve for x
    x = 165,982,908,100/262,614
  6. Step 6: Final answer
    x = 632,041.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.