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Finding the Third Proportional to 562,349.25 and 870,999.75

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Solution

The third proportional to 562,349.25 and 870,999.75 is: 1,349,055.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,349.25 : 870,999.75 = 870,999.75 : x
  2. Step 2: Convert to fraction form
    562,349.25/870,999.75 = 870,999.75/x
  3. Step 3: Cross multiply
    562,349.25x = 870,999.75 × 870,999.75
  4. Step 4: Simplify right side
    562,349.25x = 758,640,564,500.06
  5. Step 5: Solve for x
    x = 758,640,564,500.06/562,349.25
  6. Step 6: Final answer
    x = 1,349,055.88

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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.