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Finding the Third Proportional to 507,939 and 746,736

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Solution

The third proportional to 507,939 and 746,736 is: 1,097,798.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,939 : 746,736 = 746,736 : x
  2. Step 2: Convert to fraction form
    507,939/746,736 = 746,736/x
  3. Step 3: Cross multiply
    507,939x = 746,736 × 746,736
  4. Step 4: Simplify right side
    507,939x = 557,614,653,696
  5. Step 5: Solve for x
    x = 557,614,653,696/507,939
  6. Step 6: Final answer
    x = 1,097,798.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.