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Finding the Third Proportional to 329,580,816 and 498,613,050

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Solution

The third proportional to 329,580,816 and 498,613,050 is: 754,336,907.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,580,816 : 498,613,050 = 498,613,050 : x
  2. Step 2: Convert to fraction form
    329,580,816/498,613,050 = 498,613,050/x
  3. Step 3: Cross multiply
    329,580,816x = 498,613,050 × 498,613,050
  4. Step 4: Simplify right side
    329,580,816x = 248,614,973,630,302,496
  5. Step 5: Solve for x
    x = 248,614,973,630,302,496/329,580,816
  6. Step 6: Final answer
    x = 754,336,907.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.