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Finding the Third Proportional to 344,429,839.30 and 531,873,865.58

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Solution

The third proportional to 344,429,839.30 and 531,873,865.58 is: 821,327,819.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,429,839.30 : 531,873,865.58 = 531,873,865.58 : x
  2. Step 2: Convert to fraction form
    344,429,839.30/531,873,865.58 = 531,873,865.58/x
  3. Step 3: Cross multiply
    344,429,839.30x = 531,873,865.58 × 531,873,865.58
  4. Step 4: Simplify right side
    344,429,839.30x = 282,889,808,889,181,952
  5. Step 5: Solve for x
    x = 282,889,808,889,181,952/344,429,839.30
  6. Step 6: Final answer
    x = 821,327,819.52

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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.