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Finding the Third Proportional to 492,044.63 and 735,505.31

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Solution

The third proportional to 492,044.63 and 735,505.31 is: 1,099,428.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,044.63 : 735,505.31 = 735,505.31 : x
  2. Step 2: Convert to fraction form
    492,044.63/735,505.31 = 735,505.31/x
  3. Step 3: Cross multiply
    492,044.63x = 735,505.31 × 735,505.31
  4. Step 4: Simplify right side
    492,044.63x = 540,968,064,715.72
  5. Step 5: Solve for x
    x = 540,968,064,715.72/492,044.63
  6. Step 6: Final answer
    x = 1,099,428.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.