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Finding the Third Proportional to 328,980.50 and 482,064.50

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Solution

The third proportional to 328,980.50 and 482,064.50 is: 706,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,980.50 : 482,064.50 = 482,064.50 : x
  2. Step 2: Convert to fraction form
    328,980.50/482,064.50 = 482,064.50/x
  3. Step 3: Cross multiply
    328,980.50x = 482,064.50 × 482,064.50
  4. Step 4: Simplify right side
    328,980.50x = 232,386,182,160.25
  5. Step 5: Solve for x
    x = 232,386,182,160.25/328,980.50
  6. Step 6: Final answer
    x = 706,382.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.