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Finding the Third Proportional to 276,265.50 and 426,602.25

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Solution

The third proportional to 276,265.50 and 426,602.25 is: 658,748.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,265.50 : 426,602.25 = 426,602.25 : x
  2. Step 2: Convert to fraction form
    276,265.50/426,602.25 = 426,602.25/x
  3. Step 3: Cross multiply
    276,265.50x = 426,602.25 × 426,602.25
  4. Step 4: Simplify right side
    276,265.50x = 181,989,479,705.06
  5. Step 5: Solve for x
    x = 181,989,479,705.06/276,265.50
  6. Step 6: Final answer
    x = 658,748.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.