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Finding the Third Proportional to 355,779 and 777,222

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Solution

The third proportional to 355,779 and 777,222 is: 1,697,891.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,779 : 777,222 = 777,222 : x
  2. Step 2: Convert to fraction form
    355,779/777,222 = 777,222/x
  3. Step 3: Cross multiply
    355,779x = 777,222 × 777,222
  4. Step 4: Simplify right side
    355,779x = 604,074,037,284
  5. Step 5: Solve for x
    x = 604,074,037,284/355,779
  6. Step 6: Final answer
    x = 1,697,891.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.