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Finding the Third Proportional to 250,419,784 and 346,032,816

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Solution

The third proportional to 250,419,784 and 346,032,816 is: 478,151,956.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,419,784 : 346,032,816 = 346,032,816 : x
  2. Step 2: Convert to fraction form
    250,419,784/346,032,816 = 346,032,816/x
  3. Step 3: Cross multiply
    250,419,784x = 346,032,816 × 346,032,816
  4. Step 4: Simplify right side
    250,419,784x = 119,738,709,748,889,856
  5. Step 5: Solve for x
    x = 119,738,709,748,889,856/250,419,784
  6. Step 6: Final answer
    x = 478,151,956.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.