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Finding the Third Proportional to 475,416 and 698,976

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Solution

The third proportional to 475,416 and 698,976 is: 1,027,663.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,416 : 698,976 = 698,976 : x
  2. Step 2: Convert to fraction form
    475,416/698,976 = 698,976/x
  3. Step 3: Cross multiply
    475,416x = 698,976 × 698,976
  4. Step 4: Simplify right side
    475,416x = 488,567,448,576
  5. Step 5: Solve for x
    x = 488,567,448,576/475,416
  6. Step 6: Final answer
    x = 1,027,663.03

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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.