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Finding the Third Proportional to 632,959.50 and 904,485

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Solution

The third proportional to 632,959.50 and 904,485 is: 1,292,488.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,959.50 : 904,485 = 904,485 : x
  2. Step 2: Convert to fraction form
    632,959.50/904,485 = 904,485/x
  3. Step 3: Cross multiply
    632,959.50x = 904,485 × 904,485
  4. Step 4: Simplify right side
    632,959.50x = 818,093,115,225
  5. Step 5: Solve for x
    x = 818,093,115,225/632,959.50
  6. Step 6: Final answer
    x = 1,292,488.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.