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Finding the Third Proportional to 351,577 and 497,805

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Solution

The third proportional to 351,577 and 497,805 is: 704,852.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,577 : 497,805 = 497,805 : x
  2. Step 2: Convert to fraction form
    351,577/497,805 = 497,805/x
  3. Step 3: Cross multiply
    351,577x = 497,805 × 497,805
  4. Step 4: Simplify right side
    351,577x = 247,809,818,025
  5. Step 5: Solve for x
    x = 247,809,818,025/351,577
  6. Step 6: Final answer
    x = 704,852.19

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.