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Finding the Third Proportional to 341,509.50 and 527,662.69

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Solution

The third proportional to 341,509.50 and 527,662.69 is: 815,285.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,509.50 : 527,662.69 = 527,662.69 : x
  2. Step 2: Convert to fraction form
    341,509.50/527,662.69 = 527,662.69/x
  3. Step 3: Cross multiply
    341,509.50x = 527,662.69 × 527,662.69
  4. Step 4: Simplify right side
    341,509.50x = 278,427,911,779.72
  5. Step 5: Solve for x
    x = 278,427,911,779.72/341,509.50
  6. Step 6: Final answer
    x = 815,285.99

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