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Finding the Third Proportional to 716,178.38 and 973,230.19

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Solution

The third proportional to 716,178.38 and 973,230.19 is: 1,322,543.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,178.38 : 973,230.19 = 973,230.19 : x
  2. Step 2: Convert to fraction form
    716,178.38/973,230.19 = 973,230.19/x
  3. Step 3: Cross multiply
    716,178.38x = 973,230.19 × 973,230.19
  4. Step 4: Simplify right side
    716,178.38x = 947,176,997,861.29
  5. Step 5: Solve for x
    x = 947,176,997,861.29/716,178.38
  6. Step 6: Final answer
    x = 1,322,543.42

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.