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Finding the Third Proportional to 475,885 and 700,669.50

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Solution

The third proportional to 475,885 and 700,669.50 is: 1,031,631.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,885 : 700,669.50 = 700,669.50 : x
  2. Step 2: Convert to fraction form
    475,885/700,669.50 = 700,669.50/x
  3. Step 3: Cross multiply
    475,885x = 700,669.50 × 700,669.50
  4. Step 4: Simplify right side
    475,885x = 490,937,748,230.25
  5. Step 5: Solve for x
    x = 490,937,748,230.25/475,885
  6. Step 6: Final answer
    x = 1,031,631.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.