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Finding the Third Proportional to 320,924 and 508,602

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Solution

The third proportional to 320,924 and 508,602 is: 806,035.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,924 : 508,602 = 508,602 : x
  2. Step 2: Convert to fraction form
    320,924/508,602 = 508,602/x
  3. Step 3: Cross multiply
    320,924x = 508,602 × 508,602
  4. Step 4: Simplify right side
    320,924x = 258,675,994,404
  5. Step 5: Solve for x
    x = 258,675,994,404/320,924
  6. Step 6: Final answer
    x = 806,035.06

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.