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Finding the Third Proportional to 282,984,184 and 449,985,832

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Solution

The third proportional to 282,984,184 and 449,985,832 is: 715,542,636.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,984,184 : 449,985,832 = 449,985,832 : x
  2. Step 2: Convert to fraction form
    282,984,184/449,985,832 = 449,985,832/x
  3. Step 3: Cross multiply
    282,984,184x = 449,985,832 × 449,985,832
  4. Step 4: Simplify right side
    282,984,184x = 202,487,249,000,732,224
  5. Step 5: Solve for x
    x = 202,487,249,000,732,224/282,984,184
  6. Step 6: Final answer
    x = 715,542,636.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.