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Finding the Third Proportional to 413,475 and 663,405.75

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Solution

The third proportional to 413,475 and 663,405.75 is: 1,064,410.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,475 : 663,405.75 = 663,405.75 : x
  2. Step 2: Convert to fraction form
    413,475/663,405.75 = 663,405.75/x
  3. Step 3: Cross multiply
    413,475x = 663,405.75 × 663,405.75
  4. Step 4: Simplify right side
    413,475x = 440,107,189,133.06
  5. Step 5: Solve for x
    x = 440,107,189,133.06/413,475
  6. Step 6: Final answer
    x = 1,064,410.64

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.