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Finding the Third Proportional to 298,504 and 614,527

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Solution

The third proportional to 298,504 and 614,527 is: 1,265,120.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,504 : 614,527 = 614,527 : x
  2. Step 2: Convert to fraction form
    298,504/614,527 = 614,527/x
  3. Step 3: Cross multiply
    298,504x = 614,527 × 614,527
  4. Step 4: Simplify right side
    298,504x = 377,643,433,729
  5. Step 5: Solve for x
    x = 377,643,433,729/298,504
  6. Step 6: Final answer
    x = 1,265,120.18

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.