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Finding the Third Proportional to 406,688 and 613,232

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Solution

The third proportional to 406,688 and 613,232 is: 924,673.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,688 : 613,232 = 613,232 : x
  2. Step 2: Convert to fraction form
    406,688/613,232 = 613,232/x
  3. Step 3: Cross multiply
    406,688x = 613,232 × 613,232
  4. Step 4: Simplify right side
    406,688x = 376,053,485,824
  5. Step 5: Solve for x
    x = 376,053,485,824/406,688
  6. Step 6: Final answer
    x = 924,673.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.