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Finding the Third Proportional to 280,723,384 and 625,994,168

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Solution

The third proportional to 280,723,384 and 625,994,168 is: 1,395,924,674.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,723,384 : 625,994,168 = 625,994,168 : x
  2. Step 2: Convert to fraction form
    280,723,384/625,994,168 = 625,994,168/x
  3. Step 3: Cross multiply
    280,723,384x = 625,994,168 × 625,994,168
  4. Step 4: Simplify right side
    280,723,384x = 391,868,698,370,012,224
  5. Step 5: Solve for x
    x = 391,868,698,370,012,224/280,723,384
  6. Step 6: Final answer
    x = 1,395,924,674.27

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.