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Finding the Third Proportional to 341,509.50 and 491,953.50

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Solution

The third proportional to 341,509.50 and 491,953.50 is: 708,672.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,509.50 : 491,953.50 = 491,953.50 : x
  2. Step 2: Convert to fraction form
    341,509.50/491,953.50 = 491,953.50/x
  3. Step 3: Cross multiply
    341,509.50x = 491,953.50 × 491,953.50
  4. Step 4: Simplify right side
    341,509.50x = 242,018,246,162.25
  5. Step 5: Solve for x
    x = 242,018,246,162.25/341,509.50
  6. Step 6: Final answer
    x = 708,672.08

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.