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Finding the Third Proportional to 360,798 and 778,800

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Solution

The third proportional to 360,798 and 778,800 is: 1,681,077.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,798 : 778,800 = 778,800 : x
  2. Step 2: Convert to fraction form
    360,798/778,800 = 778,800/x
  3. Step 3: Cross multiply
    360,798x = 778,800 × 778,800
  4. Step 4: Simplify right side
    360,798x = 606,529,440,000
  5. Step 5: Solve for x
    x = 606,529,440,000/360,798
  6. Step 6: Final answer
    x = 1,681,077.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.