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Finding the Third Proportional to 346,573.50 and 507,845.25

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Solution

The third proportional to 346,573.50 and 507,845.25 is: 744,161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,573.50 : 507,845.25 = 507,845.25 : x
  2. Step 2: Convert to fraction form
    346,573.50/507,845.25 = 507,845.25/x
  3. Step 3: Cross multiply
    346,573.50x = 507,845.25 × 507,845.25
  4. Step 4: Simplify right side
    346,573.50x = 257,906,797,947.56
  5. Step 5: Solve for x
    x = 257,906,797,947.56/346,573.50
  6. Step 6: Final answer
    x = 744,161.91

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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.