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Finding the Third Proportional to 237,678.75 and 528,486.75

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Solution

The third proportional to 237,678.75 and 528,486.75 is: 1,175,108.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,678.75 : 528,486.75 = 528,486.75 : x
  2. Step 2: Convert to fraction form
    237,678.75/528,486.75 = 528,486.75/x
  3. Step 3: Cross multiply
    237,678.75x = 528,486.75 × 528,486.75
  4. Step 4: Simplify right side
    237,678.75x = 279,298,244,925.56
  5. Step 5: Solve for x
    x = 279,298,244,925.56/237,678.75
  6. Step 6: Final answer
    x = 1,175,108.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.