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Finding the Third Proportional to 202,464 and 404,688

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Solution

The third proportional to 202,464 and 404,688 is: 808,896.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,464 : 404,688 = 404,688 : x
  2. Step 2: Convert to fraction form
    202,464/404,688 = 404,688/x
  3. Step 3: Cross multiply
    202,464x = 404,688 × 404,688
  4. Step 4: Simplify right side
    202,464x = 163,772,377,344
  5. Step 5: Solve for x
    x = 163,772,377,344/202,464
  6. Step 6: Final answer
    x = 808,896.28

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.