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Finding the Third Proportional to 209,046 and 459,712

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Solution

The third proportional to 209,046 and 459,712 is: 1,010,950.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,046 : 459,712 = 459,712 : x
  2. Step 2: Convert to fraction form
    209,046/459,712 = 459,712/x
  3. Step 3: Cross multiply
    209,046x = 459,712 × 459,712
  4. Step 4: Simplify right side
    209,046x = 211,335,122,944
  5. Step 5: Solve for x
    x = 211,335,122,944/209,046
  6. Step 6: Final answer
    x = 1,010,950.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.