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Finding the Third Proportional to 410,340.94 and 613,871.16

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Solution

The third proportional to 410,340.94 and 613,871.16 is: 918,352.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,340.94 : 613,871.16 = 613,871.16 : x
  2. Step 2: Convert to fraction form
    410,340.94/613,871.16 = 613,871.16/x
  3. Step 3: Cross multiply
    410,340.94x = 613,871.16 × 613,871.16
  4. Step 4: Simplify right side
    410,340.94x = 376,837,796,475.71
  5. Step 5: Solve for x
    x = 376,837,796,475.71/410,340.94
  6. Step 6: Final answer
    x = 918,352.92

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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.