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Finding the Third Proportional to 597,881.25 and 907,893.56

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Solution

The third proportional to 597,881.25 and 907,893.56 is: 1,378,652.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,881.25 : 907,893.56 = 907,893.56 : x
  2. Step 2: Convert to fraction form
    597,881.25/907,893.56 = 907,893.56/x
  3. Step 3: Cross multiply
    597,881.25x = 907,893.56 × 907,893.56
  4. Step 4: Simplify right side
    597,881.25x = 824,270,720,828.94
  5. Step 5: Solve for x
    x = 824,270,720,828.94/597,881.25
  6. Step 6: Final answer
    x = 1,378,652.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.