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Finding the Third Proportional to 475,795 and 700,550

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Solution

The third proportional to 475,795 and 700,550 is: 1,031,474.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,795 : 700,550 = 700,550 : x
  2. Step 2: Convert to fraction form
    475,795/700,550 = 700,550/x
  3. Step 3: Cross multiply
    475,795x = 700,550 × 700,550
  4. Step 4: Simplify right side
    475,795x = 490,770,302,500
  5. Step 5: Solve for x
    x = 490,770,302,500/475,795
  6. Step 6: Final answer
    x = 1,031,474.27

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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.