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Finding the Third Proportional to 209,070 and 459,758

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Solution

The third proportional to 209,070 and 459,758 is: 1,011,036.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,070 : 459,758 = 459,758 : x
  2. Step 2: Convert to fraction form
    209,070/459,758 = 459,758/x
  3. Step 3: Cross multiply
    209,070x = 459,758 × 459,758
  4. Step 4: Simplify right side
    209,070x = 211,377,418,564
  5. Step 5: Solve for x
    x = 211,377,418,564/209,070
  6. Step 6: Final answer
    x = 1,011,036.58

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