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Finding the Third Proportional to 579,456 and 852,428

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Solution

The third proportional to 579,456 and 852,428 is: 1,253,992.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,456 : 852,428 = 852,428 : x
  2. Step 2: Convert to fraction form
    579,456/852,428 = 852,428/x
  3. Step 3: Cross multiply
    579,456x = 852,428 × 852,428
  4. Step 4: Simplify right side
    579,456x = 726,633,495,184
  5. Step 5: Solve for x
    x = 726,633,495,184/579,456
  6. Step 6: Final answer
    x = 1,253,992.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.