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Finding the Third Proportional to 369,765 and 553,176.75

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Solution

The third proportional to 369,765 and 553,176.75 is: 827,564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,765 : 553,176.75 = 553,176.75 : x
  2. Step 2: Convert to fraction form
    369,765/553,176.75 = 553,176.75/x
  3. Step 3: Cross multiply
    369,765x = 553,176.75 × 553,176.75
  4. Step 4: Simplify right side
    369,765x = 306,004,516,740.56
  5. Step 5: Solve for x
    x = 306,004,516,740.56/369,765
  6. Step 6: Final answer
    x = 827,564.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.