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Finding the Third Proportional to 301,466,432 and 653,015,695

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Solution

The third proportional to 301,466,432 and 653,015,695 is: 1,414,517,348.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,466,432 : 653,015,695 = 653,015,695 : x
  2. Step 2: Convert to fraction form
    301,466,432/653,015,695 = 653,015,695/x
  3. Step 3: Cross multiply
    301,466,432x = 653,015,695 × 653,015,695
  4. Step 4: Simplify right side
    301,466,432x = 426,429,497,916,333,056
  5. Step 5: Solve for x
    x = 426,429,497,916,333,056/301,466,432
  6. Step 6: Final answer
    x = 1,414,517,348.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.