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Finding the Third Proportional to 229,461.75 and 497,052

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Solution

The third proportional to 229,461.75 and 497,052 is: 1,076,696.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,461.75 : 497,052 = 497,052 : x
  2. Step 2: Convert to fraction form
    229,461.75/497,052 = 497,052/x
  3. Step 3: Cross multiply
    229,461.75x = 497,052 × 497,052
  4. Step 4: Simplify right side
    229,461.75x = 247,060,690,704
  5. Step 5: Solve for x
    x = 247,060,690,704/229,461.75
  6. Step 6: Final answer
    x = 1,076,696.62

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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.