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Finding the Third Proportional to 193,594 and 424,447

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Solution

The third proportional to 193,594 and 424,447 is: 930,582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,594 : 424,447 = 424,447 : x
  2. Step 2: Convert to fraction form
    193,594/424,447 = 424,447/x
  3. Step 3: Cross multiply
    193,594x = 424,447 × 424,447
  4. Step 4: Simplify right side
    193,594x = 180,155,255,809
  5. Step 5: Solve for x
    x = 180,155,255,809/193,594
  6. Step 6: Final answer
    x = 930,582.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.