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Finding the Third Proportional to 407,886 and 619,753.50

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Solution

The third proportional to 407,886 and 619,753.50 is: 941,670.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,886 : 619,753.50 = 619,753.50 : x
  2. Step 2: Convert to fraction form
    407,886/619,753.50 = 619,753.50/x
  3. Step 3: Cross multiply
    407,886x = 619,753.50 × 619,753.50
  4. Step 4: Simplify right side
    407,886x = 384,094,400,762.25
  5. Step 5: Solve for x
    x = 384,094,400,762.25/407,886
  6. Step 6: Final answer
    x = 941,670.96

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.