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Finding the Third Proportional to 356,828 and 553,376.50

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Solution

The third proportional to 356,828 and 553,376.50 is: 858,188.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,828 : 553,376.50 = 553,376.50 : x
  2. Step 2: Convert to fraction form
    356,828/553,376.50 = 553,376.50/x
  3. Step 3: Cross multiply
    356,828x = 553,376.50 × 553,376.50
  4. Step 4: Simplify right side
    356,828x = 306,225,550,752.25
  5. Step 5: Solve for x
    x = 306,225,550,752.25/356,828
  6. Step 6: Final answer
    x = 858,188.12

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.