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Finding the Third Proportional to 275,492.81 and 417,398.06

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Solution

The third proportional to 275,492.81 and 417,398.06 is: 632,398.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,492.81 : 417,398.06 = 417,398.06 : x
  2. Step 2: Convert to fraction form
    275,492.81/417,398.06 = 417,398.06/x
  3. Step 3: Cross multiply
    275,492.81x = 417,398.06 × 417,398.06
  4. Step 4: Simplify right side
    275,492.81x = 174,221,142,578.75
  5. Step 5: Solve for x
    x = 174,221,142,578.75/275,492.81
  6. Step 6: Final answer
    x = 632,398.14

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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.