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Finding the Third Proportional to 716,164.50 and 1,035,697.50

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Solution

The third proportional to 716,164.50 and 1,035,697.50 is: 1,497,797.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,164.50 : 1,035,697.50 = 1,035,697.50 : x
  2. Step 2: Convert to fraction form
    716,164.50/1,035,697.50 = 1,035,697.50/x
  3. Step 3: Cross multiply
    716,164.50x = 1,035,697.50 × 1,035,697.50
  4. Step 4: Simplify right side
    716,164.50x = 1,072,669,311,506.25
  5. Step 5: Solve for x
    x = 1,072,669,311,506.25/716,164.50
  6. Step 6: Final answer
    x = 1,497,797.38

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.