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Finding the Third Proportional to 407,652.75 and 610,507.13

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Solution

The third proportional to 407,652.75 and 610,507.13 is: 914,305.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,652.75 : 610,507.13 = 610,507.13 : x
  2. Step 2: Convert to fraction form
    407,652.75/610,507.13 = 610,507.13/x
  3. Step 3: Cross multiply
    407,652.75x = 610,507.13 × 610,507.13
  4. Step 4: Simplify right side
    407,652.75x = 372,718,949,675.77
  5. Step 5: Solve for x
    x = 372,718,949,675.77/407,652.75
  6. Step 6: Final answer
    x = 914,305.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.