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Finding the Third Proportional to 554,692 and 852,774

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Solution

The third proportional to 554,692 and 852,774 is: 1,311,040.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,692 : 852,774 = 852,774 : x
  2. Step 2: Convert to fraction form
    554,692/852,774 = 852,774/x
  3. Step 3: Cross multiply
    554,692x = 852,774 × 852,774
  4. Step 4: Simplify right side
    554,692x = 727,223,495,076
  5. Step 5: Solve for x
    x = 727,223,495,076/554,692
  6. Step 6: Final answer
    x = 1,311,040.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.