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Finding the Third Proportional to 210,007 and 493,645

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Solution

The third proportional to 210,007 and 493,645 is: 1,160,367.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,007 : 493,645 = 493,645 : x
  2. Step 2: Convert to fraction form
    210,007/493,645 = 493,645/x
  3. Step 3: Cross multiply
    210,007x = 493,645 × 493,645
  4. Step 4: Simplify right side
    210,007x = 243,685,386,025
  5. Step 5: Solve for x
    x = 243,685,386,025/210,007
  6. Step 6: Final answer
    x = 1,160,367.92

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.