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Finding the Third Proportional to 475,805 and 700,564

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Solution

The third proportional to 475,805 and 700,564 is: 1,031,493.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,805 : 700,564 = 700,564 : x
  2. Step 2: Convert to fraction form
    475,805/700,564 = 700,564/x
  3. Step 3: Cross multiply
    475,805x = 700,564 × 700,564
  4. Step 4: Simplify right side
    475,805x = 490,789,918,096
  5. Step 5: Solve for x
    x = 490,789,918,096/475,805
  6. Step 6: Final answer
    x = 1,031,493.82

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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.