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Finding the Third Proportional to 402,358.50 and 870,054.75

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Solution

The third proportional to 402,358.50 and 870,054.75 is: 1,881,394.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,358.50 : 870,054.75 = 870,054.75 : x
  2. Step 2: Convert to fraction form
    402,358.50/870,054.75 = 870,054.75/x
  3. Step 3: Cross multiply
    402,358.50x = 870,054.75 × 870,054.75
  4. Step 4: Simplify right side
    402,358.50x = 756,995,267,997.56
  5. Step 5: Solve for x
    x = 756,995,267,997.56/402,358.50
  6. Step 6: Final answer
    x = 1,881,394.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.