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Finding the Third Proportional to 336,544,346 and 516,973,143

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Solution

The third proportional to 336,544,346 and 516,973,143 is: 794,133,770.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,544,346 : 516,973,143 = 516,973,143 : x
  2. Step 2: Convert to fraction form
    336,544,346/516,973,143 = 516,973,143/x
  3. Step 3: Cross multiply
    336,544,346x = 516,973,143 × 516,973,143
  4. Step 4: Simplify right side
    336,544,346x = 267,261,230,583,298,464
  5. Step 5: Solve for x
    x = 267,261,230,583,298,464/336,544,346
  6. Step 6: Final answer
    x = 794,133,770.96

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Why These Related Problems?

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