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Finding the Third Proportional to 302,096,406 and 466,489,716

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Solution

The third proportional to 302,096,406 and 466,489,716 is: 720,341,754.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,096,406 : 466,489,716 = 466,489,716 : x
  2. Step 2: Convert to fraction form
    302,096,406/466,489,716 = 466,489,716/x
  3. Step 3: Cross multiply
    302,096,406x = 466,489,716 × 466,489,716
  4. Step 4: Simplify right side
    302,096,406x = 217,612,655,133,760,640
  5. Step 5: Solve for x
    x = 217,612,655,133,760,640/302,096,406
  6. Step 6: Final answer
    x = 720,341,754.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.