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Finding the Third Proportional to 342,717 and 533,574

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Solution

The third proportional to 342,717 and 533,574 is: 830,718.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,717 : 533,574 = 533,574 : x
  2. Step 2: Convert to fraction form
    342,717/533,574 = 533,574/x
  3. Step 3: Cross multiply
    342,717x = 533,574 × 533,574
  4. Step 4: Simplify right side
    342,717x = 284,701,213,476
  5. Step 5: Solve for x
    x = 284,701,213,476/342,717
  6. Step 6: Final answer
    x = 830,718.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.