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Finding the Third Proportional to 373,656 and 773,904

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Solution

The third proportional to 373,656 and 773,904 is: 1,602,884.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,656 : 773,904 = 773,904 : x
  2. Step 2: Convert to fraction form
    373,656/773,904 = 773,904/x
  3. Step 3: Cross multiply
    373,656x = 773,904 × 773,904
  4. Step 4: Simplify right side
    373,656x = 598,927,401,216
  5. Step 5: Solve for x
    x = 598,927,401,216/373,656
  6. Step 6: Final answer
    x = 1,602,884.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.