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Finding the Third Proportional to 361,779 and 776,043

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Solution

The third proportional to 361,779 and 776,043 is: 1,664,670.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,779 : 776,043 = 776,043 : x
  2. Step 2: Convert to fraction form
    361,779/776,043 = 776,043/x
  3. Step 3: Cross multiply
    361,779x = 776,043 × 776,043
  4. Step 4: Simplify right side
    361,779x = 602,242,737,849
  5. Step 5: Solve for x
    x = 602,242,737,849/361,779
  6. Step 6: Final answer
    x = 1,664,670.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.