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Finding the Third Proportional to 285,480,742 and 454,255,982

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Solution

The third proportional to 285,480,742 and 454,255,982 is: 722,810,567.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,480,742 : 454,255,982 = 454,255,982 : x
  2. Step 2: Convert to fraction form
    285,480,742/454,255,982 = 454,255,982/x
  3. Step 3: Cross multiply
    285,480,742x = 454,255,982 × 454,255,982
  4. Step 4: Simplify right side
    285,480,742x = 206,348,497,182,784,320
  5. Step 5: Solve for x
    x = 206,348,497,182,784,320/285,480,742
  6. Step 6: Final answer
    x = 722,810,567.67

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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.