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Finding the Third Proportional to 405,686,267.25 and 606,141,265.69

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Solution

The third proportional to 405,686,267.25 and 606,141,265.69 is: 905,643,753.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,686,267.25 : 606,141,265.69 = 606,141,265.69 : x
  2. Step 2: Convert to fraction form
    405,686,267.25/606,141,265.69 = 606,141,265.69/x
  3. Step 3: Cross multiply
    405,686,267.25x = 606,141,265.69 × 606,141,265.69
  4. Step 4: Simplify right side
    405,686,267.25x = 367,407,233,969,244,480
  5. Step 5: Solve for x
    x = 367,407,233,969,244,480/405,686,267.25
  6. Step 6: Final answer
    x = 905,643,753.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.