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Finding the Third Proportional to 412,978.50 and 872,613

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Solution

The third proportional to 412,978.50 and 872,613 is: 1,843,808.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,978.50 : 872,613 = 872,613 : x
  2. Step 2: Convert to fraction form
    412,978.50/872,613 = 872,613/x
  3. Step 3: Cross multiply
    412,978.50x = 872,613 × 872,613
  4. Step 4: Simplify right side
    412,978.50x = 761,453,447,769
  5. Step 5: Solve for x
    x = 761,453,447,769/412,978.50
  6. Step 6: Final answer
    x = 1,843,808.93

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.