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Finding the Third Proportional to 450,254,732 and 672,731,452

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Solution

The third proportional to 450,254,732 and 672,731,452 is: 1,005,136,813.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,254,732 : 672,731,452 = 672,731,452 : x
  2. Step 2: Convert to fraction form
    450,254,732/672,731,452 = 672,731,452/x
  3. Step 3: Cross multiply
    450,254,732x = 672,731,452 × 672,731,452
  4. Step 4: Simplify right side
    450,254,732x = 452,567,606,510,028,288
  5. Step 5: Solve for x
    x = 452,567,606,510,028,288/450,254,732
  6. Step 6: Final answer
    x = 1,005,136,813.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.