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Finding the Third Proportional to 445,036 and 688,670

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Solution

The third proportional to 445,036 and 688,670 is: 1,065,680.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,036 : 688,670 = 688,670 : x
  2. Step 2: Convert to fraction form
    445,036/688,670 = 688,670/x
  3. Step 3: Cross multiply
    445,036x = 688,670 × 688,670
  4. Step 4: Simplify right side
    445,036x = 474,266,368,900
  5. Step 5: Solve for x
    x = 474,266,368,900/445,036
  6. Step 6: Final answer
    x = 1,065,680.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.