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Finding the Third Proportional to 351,575.75 and 497,802.75

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Solution

The third proportional to 351,575.75 and 497,802.75 is: 704,848.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,575.75 : 497,802.75 = 497,802.75 : x
  2. Step 2: Convert to fraction form
    351,575.75/497,802.75 = 497,802.75/x
  3. Step 3: Cross multiply
    351,575.75x = 497,802.75 × 497,802.75
  4. Step 4: Simplify right side
    351,575.75x = 247,807,577,907.56
  5. Step 5: Solve for x
    x = 247,807,577,907.56/351,575.75
  6. Step 6: Final answer
    x = 704,848.32

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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.