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Finding the Third Proportional to 328,435 and 710,845

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Solution

The third proportional to 328,435 and 710,845 is: 1,538,510.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,435 : 710,845 = 710,845 : x
  2. Step 2: Convert to fraction form
    328,435/710,845 = 710,845/x
  3. Step 3: Cross multiply
    328,435x = 710,845 × 710,845
  4. Step 4: Simplify right side
    328,435x = 505,300,614,025
  5. Step 5: Solve for x
    x = 505,300,614,025/328,435
  6. Step 6: Final answer
    x = 1,538,510.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.