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Finding the Third Proportional to 430,239,460 and 650,481,414

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Solution

The third proportional to 430,239,460 and 650,481,414 is: 983,466,439.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,239,460 : 650,481,414 = 650,481,414 : x
  2. Step 2: Convert to fraction form
    430,239,460/650,481,414 = 650,481,414/x
  3. Step 3: Cross multiply
    430,239,460x = 650,481,414 × 650,481,414
  4. Step 4: Simplify right side
    430,239,460x = 423,126,069,959,439,424
  5. Step 5: Solve for x
    x = 423,126,069,959,439,424/430,239,460
  6. Step 6: Final answer
    x = 983,466,439.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.