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Finding the Third Proportional to 519,358 and 776,958

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Solution

The third proportional to 519,358 and 776,958 is: 1,162,326.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,358 : 776,958 = 776,958 : x
  2. Step 2: Convert to fraction form
    519,358/776,958 = 776,958/x
  3. Step 3: Cross multiply
    519,358x = 776,958 × 776,958
  4. Step 4: Simplify right side
    519,358x = 603,663,733,764
  5. Step 5: Solve for x
    x = 603,663,733,764/519,358
  6. Step 6: Final answer
    x = 1,162,326.82

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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.