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Finding the Third Proportional to 334,752 and 692,676

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Solution

The third proportional to 334,752 and 692,676 is: 1,433,300.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,752 : 692,676 = 692,676 : x
  2. Step 2: Convert to fraction form
    334,752/692,676 = 692,676/x
  3. Step 3: Cross multiply
    334,752x = 692,676 × 692,676
  4. Step 4: Simplify right side
    334,752x = 479,800,040,976
  5. Step 5: Solve for x
    x = 479,800,040,976/334,752
  6. Step 6: Final answer
    x = 1,433,300.00

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.