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Finding the Third Proportional to 344,509.50 and 503,155.50

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Solution

The third proportional to 344,509.50 and 503,155.50 is: 734,857.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,509.50 : 503,155.50 = 503,155.50 : x
  2. Step 2: Convert to fraction form
    344,509.50/503,155.50 = 503,155.50/x
  3. Step 3: Cross multiply
    344,509.50x = 503,155.50 × 503,155.50
  4. Step 4: Simplify right side
    344,509.50x = 253,165,457,180.25
  5. Step 5: Solve for x
    x = 253,165,457,180.25/344,509.50
  6. Step 6: Final answer
    x = 734,857.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.