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Finding the Third Proportional to 407,080 and 870,182.50

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Solution

The third proportional to 407,080 and 870,182.50 is: 1,860,119.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,080 : 870,182.50 = 870,182.50 : x
  2. Step 2: Convert to fraction form
    407,080/870,182.50 = 870,182.50/x
  3. Step 3: Cross multiply
    407,080x = 870,182.50 × 870,182.50
  4. Step 4: Simplify right side
    407,080x = 757,217,583,306.25
  5. Step 5: Solve for x
    x = 757,217,583,306.25/407,080
  6. Step 6: Final answer
    x = 1,860,119.84

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.