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Finding the Third Proportional to 416,403 and 904,156.50

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Solution

The third proportional to 416,403 and 904,156.50 is: 1,963,239.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,403 : 904,156.50 = 904,156.50 : x
  2. Step 2: Convert to fraction form
    416,403/904,156.50 = 904,156.50/x
  3. Step 3: Cross multiply
    416,403x = 904,156.50 × 904,156.50
  4. Step 4: Simplify right side
    416,403x = 817,498,976,492.25
  5. Step 5: Solve for x
    x = 817,498,976,492.25/416,403
  6. Step 6: Final answer
    x = 1,963,239.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.