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Finding the Third Proportional to 205,070 and 450,464

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Solution

The third proportional to 205,070 and 450,464 is: 989,505.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,070 : 450,464 = 450,464 : x
  2. Step 2: Convert to fraction form
    205,070/450,464 = 450,464/x
  3. Step 3: Cross multiply
    205,070x = 450,464 × 450,464
  4. Step 4: Simplify right side
    205,070x = 202,917,815,296
  5. Step 5: Solve for x
    x = 202,917,815,296/205,070
  6. Step 6: Final answer
    x = 989,505.12

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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.