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Finding the Third Proportional to 344,061 and 505,948.50

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Solution

The third proportional to 344,061 and 505,948.50 is: 744,007.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,061 : 505,948.50 = 505,948.50 : x
  2. Step 2: Convert to fraction form
    344,061/505,948.50 = 505,948.50/x
  3. Step 3: Cross multiply
    344,061x = 505,948.50 × 505,948.50
  4. Step 4: Simplify right side
    344,061x = 255,983,884,652.25
  5. Step 5: Solve for x
    x = 255,983,884,652.25/344,061
  6. Step 6: Final answer
    x = 744,007.27

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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.