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Finding the Third Proportional to 237,650 and 528,430

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Solution

The third proportional to 237,650 and 528,430 is: 1,174,997.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,650 : 528,430 = 528,430 : x
  2. Step 2: Convert to fraction form
    237,650/528,430 = 528,430/x
  3. Step 3: Cross multiply
    237,650x = 528,430 × 528,430
  4. Step 4: Simplify right side
    237,650x = 279,238,264,900
  5. Step 5: Solve for x
    x = 279,238,264,900/237,650
  6. Step 6: Final answer
    x = 1,174,997.96

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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.