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Finding the Third Proportional to 341,429 and 491,807.50

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Solution

The third proportional to 341,429 and 491,807.50 is: 708,418.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,429 : 491,807.50 = 491,807.50 : x
  2. Step 2: Convert to fraction form
    341,429/491,807.50 = 491,807.50/x
  3. Step 3: Cross multiply
    341,429x = 491,807.50 × 491,807.50
  4. Step 4: Simplify right side
    341,429x = 241,874,617,056.25
  5. Step 5: Solve for x
    x = 241,874,617,056.25/341,429
  6. Step 6: Final answer
    x = 708,418.49

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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.