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Finding the Third Proportional to 600,432 and 913,021.50

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Solution

The third proportional to 600,432 and 913,021.50 is: 1,388,347.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,432 : 913,021.50 = 913,021.50 : x
  2. Step 2: Convert to fraction form
    600,432/913,021.50 = 913,021.50/x
  3. Step 3: Cross multiply
    600,432x = 913,021.50 × 913,021.50
  4. Step 4: Simplify right side
    600,432x = 833,608,259,462.25
  5. Step 5: Solve for x
    x = 833,608,259,462.25/600,432
  6. Step 6: Final answer
    x = 1,388,347.49

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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.