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Finding the Third Proportional to 560,847.38 and 870,080.06

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Solution

The third proportional to 560,847.38 and 870,080.06 is: 1,349,813.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,847.38 : 870,080.06 = 870,080.06 : x
  2. Step 2: Convert to fraction form
    560,847.38/870,080.06 = 870,080.06/x
  3. Step 3: Cross multiply
    560,847.38x = 870,080.06 × 870,080.06
  4. Step 4: Simplify right side
    560,847.38x = 757,039,315,160.00
  5. Step 5: Solve for x
    x = 757,039,315,160.00/560,847.38
  6. Step 6: Final answer
    x = 1,349,813.42

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Why These Related Problems?

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