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Finding the Third Proportional to 340,779 and 527,116.50

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Solution

The third proportional to 340,779 and 527,116.50 is: 815,343.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,779 : 527,116.50 = 527,116.50 : x
  2. Step 2: Convert to fraction form
    340,779/527,116.50 = 527,116.50/x
  3. Step 3: Cross multiply
    340,779x = 527,116.50 × 527,116.50
  4. Step 4: Simplify right side
    340,779x = 277,851,804,572.25
  5. Step 5: Solve for x
    x = 277,851,804,572.25/340,779
  6. Step 6: Final answer
    x = 815,343.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.