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Finding the Third Proportional to 302,756,277 and 662,829,414

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Solution

The third proportional to 302,756,277 and 662,829,414 is: 1,451,143,594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,756,277 : 662,829,414 = 662,829,414 : x
  2. Step 2: Convert to fraction form
    302,756,277/662,829,414 = 662,829,414/x
  3. Step 3: Cross multiply
    302,756,277x = 662,829,414 × 662,829,414
  4. Step 4: Simplify right side
    302,756,277x = 439,342,832,063,583,424
  5. Step 5: Solve for x
    x = 439,342,832,063,583,424/302,756,277
  6. Step 6: Final answer
    x = 1,451,143,594.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.