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Finding the Third Proportional to 346,855,676 and 498,553,350

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Solution

The third proportional to 346,855,676 and 498,553,350 is: 716,596,152.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,855,676 : 498,553,350 = 498,553,350 : x
  2. Step 2: Convert to fraction form
    346,855,676/498,553,350 = 498,553,350/x
  3. Step 3: Cross multiply
    346,855,676x = 498,553,350 × 498,553,350
  4. Step 4: Simplify right side
    346,855,676x = 248,555,442,796,222,496
  5. Step 5: Solve for x
    x = 248,555,442,796,222,496/346,855,676
  6. Step 6: Final answer
    x = 716,596,152.22

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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.