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Finding the Third Proportional to 470,518.88 and 706,841.44

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Solution

The third proportional to 470,518.88 and 706,841.44 is: 1,061,859.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,518.88 : 706,841.44 = 706,841.44 : x
  2. Step 2: Convert to fraction form
    470,518.88/706,841.44 = 706,841.44/x
  3. Step 3: Cross multiply
    470,518.88x = 706,841.44 × 706,841.44
  4. Step 4: Simplify right side
    470,518.88x = 499,624,817,767.07
  5. Step 5: Solve for x
    x = 499,624,817,767.07/470,518.88
  6. Step 6: Final answer
    x = 1,061,859.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.