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Finding the Third Proportional to 282,759 and 614,604

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Solution

The third proportional to 282,759 and 614,604 is: 1,335,901.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,759 : 614,604 = 614,604 : x
  2. Step 2: Convert to fraction form
    282,759/614,604 = 614,604/x
  3. Step 3: Cross multiply
    282,759x = 614,604 × 614,604
  4. Step 4: Simplify right side
    282,759x = 377,738,076,816
  5. Step 5: Solve for x
    x = 377,738,076,816/282,759
  6. Step 6: Final answer
    x = 1,335,901.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.