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Finding the Third Proportional to 365,396,322 and 497,692,176

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Solution

The third proportional to 365,396,322 and 497,692,176 is: 677,887,234.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,396,322 : 497,692,176 = 497,692,176 : x
  2. Step 2: Convert to fraction form
    365,396,322/497,692,176 = 497,692,176/x
  3. Step 3: Cross multiply
    365,396,322x = 497,692,176 × 497,692,176
  4. Step 4: Simplify right side
    365,396,322x = 247,697,502,051,614,976
  5. Step 5: Solve for x
    x = 247,697,502,051,614,976/365,396,322
  6. Step 6: Final answer
    x = 677,887,234.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.