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Finding the Third Proportional to 334,000,536 and 690,912,036

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Solution

The third proportional to 334,000,536 and 690,912,036 is: 1,429,217,591.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,000,536 : 690,912,036 = 690,912,036 : x
  2. Step 2: Convert to fraction form
    334,000,536/690,912,036 = 690,912,036/x
  3. Step 3: Cross multiply
    334,000,536x = 690,912,036 × 690,912,036
  4. Step 4: Simplify right side
    334,000,536x = 477,359,441,489,665,280
  5. Step 5: Solve for x
    x = 477,359,441,489,665,280/334,000,536
  6. Step 6: Final answer
    x = 1,429,217,591.10

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.