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Finding the Third Proportional to 239,416,560 and 514,636,578

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Solution

The third proportional to 239,416,560 and 514,636,578 is: 1,106,234,286.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,416,560 : 514,636,578 = 514,636,578 : x
  2. Step 2: Convert to fraction form
    239,416,560/514,636,578 = 514,636,578/x
  3. Step 3: Cross multiply
    239,416,560x = 514,636,578 × 514,636,578
  4. Step 4: Simplify right side
    239,416,560x = 264,850,807,415,550,080
  5. Step 5: Solve for x
    x = 264,850,807,415,550,080/239,416,560
  6. Step 6: Final answer
    x = 1,106,234,286.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.