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Finding the Third Proportional to 584,500.50 and 901,374.75

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Solution

The third proportional to 584,500.50 and 901,374.75 is: 1,390,035.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,500.50 : 901,374.75 = 901,374.75 : x
  2. Step 2: Convert to fraction form
    584,500.50/901,374.75 = 901,374.75/x
  3. Step 3: Cross multiply
    584,500.50x = 901,374.75 × 901,374.75
  4. Step 4: Simplify right side
    584,500.50x = 812,476,439,937.56
  5. Step 5: Solve for x
    x = 812,476,439,937.56/584,500.50
  6. Step 6: Final answer
    x = 1,390,035.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.