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Finding the Third Proportional to 328,064.50 and 474,114.50

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Solution

The third proportional to 328,064.50 and 474,114.50 is: 685,184.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,064.50 : 474,114.50 = 474,114.50 : x
  2. Step 2: Convert to fraction form
    328,064.50/474,114.50 = 474,114.50/x
  3. Step 3: Cross multiply
    328,064.50x = 474,114.50 × 474,114.50
  4. Step 4: Simplify right side
    328,064.50x = 224,784,559,110.25
  5. Step 5: Solve for x
    x = 224,784,559,110.25/328,064.50
  6. Step 6: Final answer
    x = 685,184.04

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.