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Finding the Third Proportional to 346,855,682 and 498,553,359

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Solution

The third proportional to 346,855,682 and 498,553,359 is: 716,596,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,855,682 : 498,553,359 = 498,553,359 : x
  2. Step 2: Convert to fraction form
    346,855,682/498,553,359 = 498,553,359/x
  3. Step 3: Cross multiply
    346,855,682x = 498,553,359 × 498,553,359
  4. Step 4: Simplify right side
    346,855,682x = 248,555,451,770,182,880
  5. Step 5: Solve for x
    x = 248,555,451,770,182,880/346,855,682
  6. Step 6: Final answer
    x = 716,596,165.69

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.