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Finding the Third Proportional to 237,640 and 528,412

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Solution

The third proportional to 237,640 and 528,412 is: 1,174,967.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,640 : 528,412 = 528,412 : x
  2. Step 2: Convert to fraction form
    237,640/528,412 = 528,412/x
  3. Step 3: Cross multiply
    237,640x = 528,412 × 528,412
  4. Step 4: Simplify right side
    237,640x = 279,219,241,744
  5. Step 5: Solve for x
    x = 279,219,241,744/237,640
  6. Step 6: Final answer
    x = 1,174,967.35

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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.