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Finding the Third Proportional to 478,764.42 and 742,340.32

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Solution

The third proportional to 478,764.42 and 742,340.32 is: 1,151,023.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,764.42 : 742,340.32 = 742,340.32 : x
  2. Step 2: Convert to fraction form
    478,764.42/742,340.32 = 742,340.32/x
  3. Step 3: Cross multiply
    478,764.42x = 742,340.32 × 742,340.32
  4. Step 4: Simplify right side
    478,764.42x = 551,069,151,161.67
  5. Step 5: Solve for x
    x = 551,069,151,161.67/478,764.42
  6. Step 6: Final answer
    x = 1,151,023.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.