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Finding the Third Proportional to 229,442.06 and 492,098.63

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Solution

The third proportional to 229,442.06 and 492,098.63 is: 1,055,434.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,442.06 : 492,098.63 = 492,098.63 : x
  2. Step 2: Convert to fraction form
    229,442.06/492,098.63 = 492,098.63/x
  3. Step 3: Cross multiply
    229,442.06x = 492,098.63 × 492,098.63
  4. Step 4: Simplify right side
    229,442.06x = 242,161,056,726.89
  5. Step 5: Solve for x
    x = 242,161,056,726.89/229,442.06
  6. Step 6: Final answer
    x = 1,055,434.45

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.