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Finding the Third Proportional to 306,957,336.75 and 471,820,425.75

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Solution

The third proportional to 306,957,336.75 and 471,820,425.75 is: 725,229,494.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,957,336.75 : 471,820,425.75 = 471,820,425.75 : x
  2. Step 2: Convert to fraction form
    306,957,336.75/471,820,425.75 = 471,820,425.75/x
  3. Step 3: Cross multiply
    306,957,336.75x = 471,820,425.75 × 471,820,425.75
  4. Step 4: Simplify right side
    306,957,336.75x = 222,614,514,154,911,264
  5. Step 5: Solve for x
    x = 222,614,514,154,911,264/306,957,336.75
  6. Step 6: Final answer
    x = 725,229,494.47

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.