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Finding the Third Proportional to 298,409.06 and 610,605.84

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Solution

The third proportional to 298,409.06 and 610,605.84 is: 1,249,424.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,409.06 : 610,605.84 = 610,605.84 : x
  2. Step 2: Convert to fraction form
    298,409.06/610,605.84 = 610,605.84/x
  3. Step 3: Cross multiply
    298,409.06x = 610,605.84 × 610,605.84
  4. Step 4: Simplify right side
    298,409.06x = 372,839,496,421.65
  5. Step 5: Solve for x
    x = 372,839,496,421.65/298,409.06
  6. Step 6: Final answer
    x = 1,249,424.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.