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Finding the Third Proportional to 430,239,462 and 650,481,417

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Solution

The third proportional to 430,239,462 and 650,481,417 is: 983,466,444.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,239,462 : 650,481,417 = 650,481,417 : x
  2. Step 2: Convert to fraction form
    430,239,462/650,481,417 = 650,481,417/x
  3. Step 3: Cross multiply
    430,239,462x = 650,481,417 × 650,481,417
  4. Step 4: Simplify right side
    430,239,462x = 423,126,073,862,327,872
  5. Step 5: Solve for x
    x = 423,126,073,862,327,872/430,239,462
  6. Step 6: Final answer
    x = 983,466,444.23

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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.