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Finding the Third Proportional to 237,912 and 528,312

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Solution

The third proportional to 237,912 and 528,312 is: 1,173,179.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,912 : 528,312 = 528,312 : x
  2. Step 2: Convert to fraction form
    237,912/528,312 = 528,312/x
  3. Step 3: Cross multiply
    237,912x = 528,312 × 528,312
  4. Step 4: Simplify right side
    237,912x = 279,113,569,344
  5. Step 5: Solve for x
    x = 279,113,569,344/237,912
  6. Step 6: Final answer
    x = 1,173,179.87

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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.