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Finding the Third Proportional to 328,981.50 and 706,916.25

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Solution

The third proportional to 328,981.50 and 706,916.25 is: 1,519,023.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,981.50 : 706,916.25 = 706,916.25 : x
  2. Step 2: Convert to fraction form
    328,981.50/706,916.25 = 706,916.25/x
  3. Step 3: Cross multiply
    328,981.50x = 706,916.25 × 706,916.25
  4. Step 4: Simplify right side
    328,981.50x = 499,730,584,514.06
  5. Step 5: Solve for x
    x = 499,730,584,514.06/328,981.50
  6. Step 6: Final answer
    x = 1,519,023.36

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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.