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Finding the Third Proportional to 268,448 and 578,928

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Solution

The third proportional to 268,448 and 578,928 is: 1,248,501.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,448 : 578,928 = 578,928 : x
  2. Step 2: Convert to fraction form
    268,448/578,928 = 578,928/x
  3. Step 3: Cross multiply
    268,448x = 578,928 × 578,928
  4. Step 4: Simplify right side
    268,448x = 335,157,629,184
  5. Step 5: Solve for x
    x = 335,157,629,184/268,448
  6. Step 6: Final answer
    x = 1,248,501.12

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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.