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Finding the Third Proportional to 339,813,828 and 524,270,895

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Solution

The third proportional to 339,813,828 and 524,270,895 is: 808,854,580.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,813,828 : 524,270,895 = 524,270,895 : x
  2. Step 2: Convert to fraction form
    339,813,828/524,270,895 = 524,270,895/x
  3. Step 3: Cross multiply
    339,813,828x = 524,270,895 × 524,270,895
  4. Step 4: Simplify right side
    339,813,828x = 274,859,971,344,101,024
  5. Step 5: Solve for x
    x = 274,859,971,344,101,024/339,813,828
  6. Step 6: Final answer
    x = 808,854,580.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.