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Finding the Third Proportional to 319,032 and 696,019.50

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Solution

The third proportional to 319,032 and 696,019.50 is: 1,518,478.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,032 : 696,019.50 = 696,019.50 : x
  2. Step 2: Convert to fraction form
    319,032/696,019.50 = 696,019.50/x
  3. Step 3: Cross multiply
    319,032x = 696,019.50 × 696,019.50
  4. Step 4: Simplify right side
    319,032x = 484,443,144,380.25
  5. Step 5: Solve for x
    x = 484,443,144,380.25/319,032
  6. Step 6: Final answer
    x = 1,518,478.22

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.