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Finding the Third Proportional to 292,094 and 426,650

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Solution

The third proportional to 292,094 and 426,650 is: 623,190.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,094 : 426,650 = 426,650 : x
  2. Step 2: Convert to fraction form
    292,094/426,650 = 426,650/x
  3. Step 3: Cross multiply
    292,094x = 426,650 × 426,650
  4. Step 4: Simplify right side
    292,094x = 182,030,222,500
  5. Step 5: Solve for x
    x = 182,030,222,500/292,094
  6. Step 6: Final answer
    x = 623,190.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.