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Finding the Third Proportional to 328,798 and 482,826

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Solution

The third proportional to 328,798 and 482,826 is: 709,009.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,798 : 482,826 = 482,826 : x
  2. Step 2: Convert to fraction form
    328,798/482,826 = 482,826/x
  3. Step 3: Cross multiply
    328,798x = 482,826 × 482,826
  4. Step 4: Simplify right side
    328,798x = 233,120,946,276
  5. Step 5: Solve for x
    x = 233,120,946,276/328,798
  6. Step 6: Final answer
    x = 709,009.62

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