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Finding the Third Proportional to 473,946.19 and 726,757.31

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Solution

The third proportional to 473,946.19 and 726,757.31 is: 1,114,422.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,946.19 : 726,757.31 = 726,757.31 : x
  2. Step 2: Convert to fraction form
    473,946.19/726,757.31 = 726,757.31/x
  3. Step 3: Cross multiply
    473,946.19x = 726,757.31 × 726,757.31
  4. Step 4: Simplify right side
    473,946.19x = 528,176,191,272.22
  5. Step 5: Solve for x
    x = 528,176,191,272.22/473,946.19
  6. Step 6: Final answer
    x = 1,114,422.28

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.