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Finding the Third Proportional to 345,422,076.75 and 493,957,639.13

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Solution

The third proportional to 345,422,076.75 and 493,957,639.13 is: 706,365,243.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,422,076.75 : 493,957,639.13 = 493,957,639.13 : x
  2. Step 2: Convert to fraction form
    345,422,076.75/493,957,639.13 = 493,957,639.13/x
  3. Step 3: Cross multiply
    345,422,076.75x = 493,957,639.13 × 493,957,639.13
  4. Step 4: Simplify right side
    345,422,076.75x = 243,994,149,249,943,744
  5. Step 5: Solve for x
    x = 243,994,149,249,943,744/345,422,076.75
  6. Step 6: Final answer
    x = 706,365,243.20

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.