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Finding the Third Proportional to 416,421.42 and 904,193.72

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Solution

The third proportional to 416,421.42 and 904,193.72 is: 1,963,314.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,421.42 : 904,193.72 = 904,193.72 : x
  2. Step 2: Convert to fraction form
    416,421.42/904,193.72 = 904,193.72/x
  3. Step 3: Cross multiply
    416,421.42x = 904,193.72 × 904,193.72
  4. Step 4: Simplify right side
    416,421.42x = 817,566,281,026.95
  5. Step 5: Solve for x
    x = 817,566,281,026.95/416,421.42
  6. Step 6: Final answer
    x = 1,963,314.66

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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.