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Finding the Third Proportional to 328,893.75 and 492,017.63

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Solution

The third proportional to 328,893.75 and 492,017.63 is: 736,047.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,893.75 : 492,017.63 = 492,017.63 : x
  2. Step 2: Convert to fraction form
    328,893.75/492,017.63 = 492,017.63/x
  3. Step 3: Cross multiply
    328,893.75x = 492,017.63 × 492,017.63
  4. Step 4: Simplify right side
    328,893.75x = 242,081,343,310.64
  5. Step 5: Solve for x
    x = 242,081,343,310.64/328,893.75
  6. Step 6: Final answer
    x = 736,047.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.