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Finding the Third Proportional to 328,827.75 and 706,607.25

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Solution

The third proportional to 328,827.75 and 706,607.25 is: 1,518,405.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,827.75 : 706,607.25 = 706,607.25 : x
  2. Step 2: Convert to fraction form
    328,827.75/706,607.25 = 706,607.25/x
  3. Step 3: Cross multiply
    328,827.75x = 706,607.25 × 706,607.25
  4. Step 4: Simplify right side
    328,827.75x = 499,293,805,752.56
  5. Step 5: Solve for x
    x = 499,293,805,752.56/328,827.75
  6. Step 6: Final answer
    x = 1,518,405.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.