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Finding the Third Proportional to 608,717 and 816,574

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Solution

The third proportional to 608,717 and 816,574 is: 1,095,407.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,717 : 816,574 = 816,574 : x
  2. Step 2: Convert to fraction form
    608,717/816,574 = 816,574/x
  3. Step 3: Cross multiply
    608,717x = 816,574 × 816,574
  4. Step 4: Simplify right side
    608,717x = 666,793,097,476
  5. Step 5: Solve for x
    x = 666,793,097,476/608,717
  6. Step 6: Final answer
    x = 1,095,407.39

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.