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Finding the Third Proportional to 301,470,392 and 653,023,576

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Solution

The third proportional to 301,470,392 and 653,023,576 is: 1,414,532,909.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,470,392 : 653,023,576 = 653,023,576 : x
  2. Step 2: Convert to fraction form
    301,470,392/653,023,576 = 653,023,576/x
  3. Step 3: Cross multiply
    301,470,392x = 653,023,576 × 653,023,576
  4. Step 4: Simplify right side
    301,470,392x = 426,439,790,811,827,776
  5. Step 5: Solve for x
    x = 426,439,790,811,827,776/301,470,392
  6. Step 6: Final answer
    x = 1,414,532,909.79

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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.