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Finding the Third Proportional to 334,326,315 and 506,538,156

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Solution

The third proportional to 334,326,315 and 506,538,156 is: 767,456,499.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,326,315 : 506,538,156 = 506,538,156 : x
  2. Step 2: Convert to fraction form
    334,326,315/506,538,156 = 506,538,156/x
  3. Step 3: Cross multiply
    334,326,315x = 506,538,156 × 506,538,156
  4. Step 4: Simplify right side
    334,326,315x = 256,580,903,483,880,320
  5. Step 5: Solve for x
    x = 256,580,903,483,880,320/334,326,315
  6. Step 6: Final answer
    x = 767,456,499.75

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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.