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Finding the Third Proportional to 302,816 and 464,828

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Solution

The third proportional to 302,816 and 464,828 is: 713,519.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,816 : 464,828 = 464,828 : x
  2. Step 2: Convert to fraction form
    302,816/464,828 = 464,828/x
  3. Step 3: Cross multiply
    302,816x = 464,828 × 464,828
  4. Step 4: Simplify right side
    302,816x = 216,065,069,584
  5. Step 5: Solve for x
    x = 216,065,069,584/302,816
  6. Step 6: Final answer
    x = 713,519.33

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.