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Finding the Third Proportional to 340,729,605 and 741,158,228.25

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Solution

The third proportional to 340,729,605 and 741,158,228.25 is: 1,612,174,320.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,729,605 : 741,158,228.25 = 741,158,228.25 : x
  2. Step 2: Convert to fraction form
    340,729,605/741,158,228.25 = 741,158,228.25/x
  3. Step 3: Cross multiply
    340,729,605x = 741,158,228.25 × 741,158,228.25
  4. Step 4: Simplify right side
    340,729,605x = 549,315,519,302,679,104
  5. Step 5: Solve for x
    x = 549,315,519,302,679,104/340,729,605
  6. Step 6: Final answer
    x = 1,612,174,320.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.