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Finding the Third Proportional to 358,597 and 780,286.50

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Solution

The third proportional to 358,597 and 780,286.50 is: 1,697,858.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,597 : 780,286.50 = 780,286.50 : x
  2. Step 2: Convert to fraction form
    358,597/780,286.50 = 780,286.50/x
  3. Step 3: Cross multiply
    358,597x = 780,286.50 × 780,286.50
  4. Step 4: Simplify right side
    358,597x = 608,847,022,082.25
  5. Step 5: Solve for x
    x = 608,847,022,082.25/358,597
  6. Step 6: Final answer
    x = 1,697,858.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.