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Finding the Third Proportional to 349,764.75 and 725,823.75

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Solution

The third proportional to 349,764.75 and 725,823.75 is: 1,506,212.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,764.75 : 725,823.75 = 725,823.75 : x
  2. Step 2: Convert to fraction form
    349,764.75/725,823.75 = 725,823.75/x
  3. Step 3: Cross multiply
    349,764.75x = 725,823.75 × 725,823.75
  4. Step 4: Simplify right side
    349,764.75x = 526,820,116,064.06
  5. Step 5: Solve for x
    x = 526,820,116,064.06/349,764.75
  6. Step 6: Final answer
    x = 1,506,212.72

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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.