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Finding the Third Proportional to 334,326,298.50 and 506,538,132

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Solution

The third proportional to 334,326,298.50 and 506,538,132 is: 767,456,464.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,326,298.50 : 506,538,132 = 506,538,132 : x
  2. Step 2: Convert to fraction form
    334,326,298.50/506,538,132 = 506,538,132/x
  3. Step 3: Cross multiply
    334,326,298.50x = 506,538,132 × 506,538,132
  4. Step 4: Simplify right side
    334,326,298.50x = 256,580,879,170,049,408
  5. Step 5: Solve for x
    x = 256,580,879,170,049,408/334,326,298.50
  6. Step 6: Final answer
    x = 767,456,464.90

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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.