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Finding the Third Proportional to 268,382 and 578,798

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Solution

The third proportional to 268,382 and 578,798 is: 1,248,247.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,382 : 578,798 = 578,798 : x
  2. Step 2: Convert to fraction form
    268,382/578,798 = 578,798/x
  3. Step 3: Cross multiply
    268,382x = 578,798 × 578,798
  4. Step 4: Simplify right side
    268,382x = 335,007,124,804
  5. Step 5: Solve for x
    x = 335,007,124,804/268,382
  6. Step 6: Final answer
    x = 1,248,247.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.