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Finding the Third Proportional to 340,852.50 and 527,235.75

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Solution

The third proportional to 340,852.50 and 527,235.75 is: 815,536.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,852.50 : 527,235.75 = 527,235.75 : x
  2. Step 2: Convert to fraction form
    340,852.50/527,235.75 = 527,235.75/x
  3. Step 3: Cross multiply
    340,852.50x = 527,235.75 × 527,235.75
  4. Step 4: Simplify right side
    340,852.50x = 277,977,536,078.06
  5. Step 5: Solve for x
    x = 277,977,536,078.06/340,852.50
  6. Step 6: Final answer
    x = 815,536.15

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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.