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Finding the Third Proportional to 624,498.75 and 1,298,085.75

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Solution

The third proportional to 624,498.75 and 1,298,085.75 is: 2,698,206.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,498.75 : 1,298,085.75 = 1,298,085.75 : x
  2. Step 2: Convert to fraction form
    624,498.75/1,298,085.75 = 1,298,085.75/x
  3. Step 3: Cross multiply
    624,498.75x = 1,298,085.75 × 1,298,085.75
  4. Step 4: Simplify right side
    624,498.75x = 1,685,026,614,353.06
  5. Step 5: Solve for x
    x = 1,685,026,614,353.06/624,498.75
  6. Step 6: Final answer
    x = 2,698,206.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.