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Finding the Third Proportional to 319,433.63 and 683,188.88

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Solution

The third proportional to 319,433.63 and 683,188.88 is: 1,461,170.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,433.63 : 683,188.88 = 683,188.88 : x
  2. Step 2: Convert to fraction form
    319,433.63/683,188.88 = 683,188.88/x
  3. Step 3: Cross multiply
    319,433.63x = 683,188.88 × 683,188.88
  4. Step 4: Simplify right side
    319,433.63x = 466,747,038,923.77
  5. Step 5: Solve for x
    x = 466,747,038,923.77/319,433.63
  6. Step 6: Final answer
    x = 1,461,170.65

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.