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Finding the Third Proportional to 319,590.56 and 678,592.69

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Solution

The third proportional to 319,590.56 and 678,592.69 is: 1,440,868.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,590.56 : 678,592.69 = 678,592.69 : x
  2. Step 2: Convert to fraction form
    319,590.56/678,592.69 = 678,592.69/x
  3. Step 3: Cross multiply
    319,590.56x = 678,592.69 × 678,592.69
  4. Step 4: Simplify right side
    319,590.56x = 460,488,035,528.47
  5. Step 5: Solve for x
    x = 460,488,035,528.47/319,590.56
  6. Step 6: Final answer
    x = 1,440,868.69

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.