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Finding the Third Proportional to 210,174 and 466,998

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Solution

The third proportional to 210,174 and 466,998 is: 1,037,650.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,174 : 466,998 = 466,998 : x
  2. Step 2: Convert to fraction form
    210,174/466,998 = 466,998/x
  3. Step 3: Cross multiply
    210,174x = 466,998 × 466,998
  4. Step 4: Simplify right side
    210,174x = 218,087,132,004
  5. Step 5: Solve for x
    x = 218,087,132,004/210,174
  6. Step 6: Final answer
    x = 1,037,650.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.