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Finding the Third Proportional to 397,315.13 and 870,210.84

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Solution

The third proportional to 397,315.13 and 870,210.84 is: 1,905,960.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,315.13 : 870,210.84 = 870,210.84 : x
  2. Step 2: Convert to fraction form
    397,315.13/870,210.84 = 870,210.84/x
  3. Step 3: Cross multiply
    397,315.13x = 870,210.84 × 870,210.84
  4. Step 4: Simplify right side
    397,315.13x = 757,266,912,580.09
  5. Step 5: Solve for x
    x = 757,266,912,580.09/397,315.13
  6. Step 6: Final answer
    x = 1,905,960.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.