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Finding the Third Proportional to 644,163 and 947,300

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Solution

The third proportional to 644,163 and 947,300 is: 1,393,090.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,163 : 947,300 = 947,300 : x
  2. Step 2: Convert to fraction form
    644,163/947,300 = 947,300/x
  3. Step 3: Cross multiply
    644,163x = 947,300 × 947,300
  4. Step 4: Simplify right side
    644,163x = 897,377,290,000
  5. Step 5: Solve for x
    x = 897,377,290,000/644,163
  6. Step 6: Final answer
    x = 1,393,090.40

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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.