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Finding the Third Proportional to 574,812.50 and 870,171

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Solution

The third proportional to 574,812.50 and 870,171 is: 1,317,294.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,812.50 : 870,171 = 870,171 : x
  2. Step 2: Convert to fraction form
    574,812.50/870,171 = 870,171/x
  3. Step 3: Cross multiply
    574,812.50x = 870,171 × 870,171
  4. Step 4: Simplify right side
    574,812.50x = 757,197,569,241
  5. Step 5: Solve for x
    x = 757,197,569,241/574,812.50
  6. Step 6: Final answer
    x = 1,317,294.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.