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Finding the Third Proportional to 574,200 and 881,388

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Solution

The third proportional to 574,200 and 881,388 is: 1,352,916.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,200 : 881,388 = 881,388 : x
  2. Step 2: Convert to fraction form
    574,200/881,388 = 881,388/x
  3. Step 3: Cross multiply
    574,200x = 881,388 × 881,388
  4. Step 4: Simplify right side
    574,200x = 776,844,806,544
  5. Step 5: Solve for x
    x = 776,844,806,544/574,200
  6. Step 6: Final answer
    x = 1,352,916.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.