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Finding the Third Proportional to 475,836 and 700,608

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Solution

The third proportional to 475,836 and 700,608 is: 1,031,556.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,836 : 700,608 = 700,608 : x
  2. Step 2: Convert to fraction form
    475,836/700,608 = 700,608/x
  3. Step 3: Cross multiply
    475,836x = 700,608 × 700,608
  4. Step 4: Simplify right side
    475,836x = 490,851,569,664
  5. Step 5: Solve for x
    x = 490,851,569,664/475,836
  6. Step 6: Final answer
    x = 1,031,556.19

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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.