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Finding the Third Proportional to 319,068.50 and 493,988

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Solution

The third proportional to 319,068.50 and 493,988 is: 764,801.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,068.50 : 493,988 = 493,988 : x
  2. Step 2: Convert to fraction form
    319,068.50/493,988 = 493,988/x
  3. Step 3: Cross multiply
    319,068.50x = 493,988 × 493,988
  4. Step 4: Simplify right side
    319,068.50x = 244,024,144,144
  5. Step 5: Solve for x
    x = 244,024,144,144/319,068.50
  6. Step 6: Final answer
    x = 764,801.74

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.