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Finding the Third Proportional to 258,904.69 and 553,792.78

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Solution

The third proportional to 258,904.69 and 553,792.78 is: 1,184,553.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,904.69 : 553,792.78 = 553,792.78 : x
  2. Step 2: Convert to fraction form
    258,904.69/553,792.78 = 553,792.78/x
  3. Step 3: Cross multiply
    258,904.69x = 553,792.78 × 553,792.78
  4. Step 4: Simplify right side
    258,904.69x = 306,686,444,564.61
  5. Step 5: Solve for x
    x = 306,686,444,564.61/258,904.69
  6. Step 6: Final answer
    x = 1,184,553.46

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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.