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Finding the Third Proportional to 328,792.50 and 513,950.06

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Solution

The third proportional to 328,792.50 and 513,950.06 is: 803,378.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,792.50 : 513,950.06 = 513,950.06 : x
  2. Step 2: Convert to fraction form
    328,792.50/513,950.06 = 513,950.06/x
  3. Step 3: Cross multiply
    328,792.50x = 513,950.06 × 513,950.06
  4. Step 4: Simplify right side
    328,792.50x = 264,144,666,743.75
  5. Step 5: Solve for x
    x = 264,144,666,743.75/328,792.50
  6. Step 6: Final answer
    x = 803,378.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.