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Finding the Third Proportional to 314,929.69 and 478,226.53

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Solution

The third proportional to 314,929.69 and 478,226.53 is: 726,195.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,929.69 : 478,226.53 = 478,226.53 : x
  2. Step 2: Convert to fraction form
    314,929.69/478,226.53 = 478,226.53/x
  3. Step 3: Cross multiply
    314,929.69x = 478,226.53 × 478,226.53
  4. Step 4: Simplify right side
    314,929.69x = 228,700,615,191.41
  5. Step 5: Solve for x
    x = 228,700,615,191.41/314,929.69
  6. Step 6: Final answer
    x = 726,195.80

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.