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Finding the Third Proportional to 402,127.03 and 593,835.05

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Solution

The third proportional to 402,127.03 and 593,835.05 is: 876,936.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,127.03 : 593,835.05 = 593,835.05 : x
  2. Step 2: Convert to fraction form
    402,127.03/593,835.05 = 593,835.05/x
  3. Step 3: Cross multiply
    402,127.03x = 593,835.05 × 593,835.05
  4. Step 4: Simplify right side
    402,127.03x = 352,640,062,897.03
  5. Step 5: Solve for x
    x = 352,640,062,897.03/402,127.03
  6. Step 6: Final answer
    x = 876,936.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.