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Finding the Third Proportional to 193,582 and 424,556

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Solution

The third proportional to 193,582 and 424,556 is: 931,118.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,582 : 424,556 = 424,556 : x
  2. Step 2: Convert to fraction form
    193,582/424,556 = 424,556/x
  3. Step 3: Cross multiply
    193,582x = 424,556 × 424,556
  4. Step 4: Simplify right side
    193,582x = 180,247,797,136
  5. Step 5: Solve for x
    x = 180,247,797,136/193,582
  6. Step 6: Final answer
    x = 931,118.58

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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.