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Finding the Third Proportional to 334,326,322.50 and 506,538,169.50

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Solution

The third proportional to 334,326,322.50 and 506,538,169.50 is: 767,456,523.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,326,322.50 : 506,538,169.50 = 506,538,169.50 : x
  2. Step 2: Convert to fraction form
    334,326,322.50/506,538,169.50 = 506,538,169.50/x
  3. Step 3: Cross multiply
    334,326,322.50x = 506,538,169.50 × 506,538,169.50
  4. Step 4: Simplify right side
    334,326,322.50x = 256,580,917,160,410,720
  5. Step 5: Solve for x
    x = 256,580,917,160,410,720/334,326,322.50
  6. Step 6: Final answer
    x = 767,456,523.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.