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Finding the Third Proportional to 328,585.50 and 499,027.50

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Solution

The third proportional to 328,585.50 and 499,027.50 is: 757,880.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,585.50 : 499,027.50 = 499,027.50 : x
  2. Step 2: Convert to fraction form
    328,585.50/499,027.50 = 499,027.50/x
  3. Step 3: Cross multiply
    328,585.50x = 499,027.50 × 499,027.50
  4. Step 4: Simplify right side
    328,585.50x = 249,028,445,756.25
  5. Step 5: Solve for x
    x = 249,028,445,756.25/328,585.50
  6. Step 6: Final answer
    x = 757,880.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.