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Finding the Third Proportional to 342,564 and 722,055

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Solution

The third proportional to 342,564 and 722,055 is: 1,521,944.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,564 : 722,055 = 722,055 : x
  2. Step 2: Convert to fraction form
    342,564/722,055 = 722,055/x
  3. Step 3: Cross multiply
    342,564x = 722,055 × 722,055
  4. Step 4: Simplify right side
    342,564x = 521,363,423,025
  5. Step 5: Solve for x
    x = 521,363,423,025/342,564
  6. Step 6: Final answer
    x = 1,521,944.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.