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Finding the Third Proportional to 404,276.06 and 606,421.69

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Solution

The third proportional to 404,276.06 and 606,421.69 is: 909,643.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,276.06 : 606,421.69 = 606,421.69 : x
  2. Step 2: Convert to fraction form
    404,276.06/606,421.69 = 606,421.69/x
  3. Step 3: Cross multiply
    404,276.06x = 606,421.69 × 606,421.69
  4. Step 4: Simplify right side
    404,276.06x = 367,747,263,070.35
  5. Step 5: Solve for x
    x = 367,747,263,070.35/404,276.06
  6. Step 6: Final answer
    x = 909,643.92

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