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Finding the Third Proportional to 225,388 and 482,768

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Solution

The third proportional to 225,388 and 482,768 is: 1,034,061.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,388 : 482,768 = 482,768 : x
  2. Step 2: Convert to fraction form
    225,388/482,768 = 482,768/x
  3. Step 3: Cross multiply
    225,388x = 482,768 × 482,768
  4. Step 4: Simplify right side
    225,388x = 233,064,941,824
  5. Step 5: Solve for x
    x = 233,064,941,824/225,388
  6. Step 6: Final answer
    x = 1,034,061.01

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.