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Finding the Third Proportional to 349,770 and 725,828

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Solution

The third proportional to 349,770 and 725,828 is: 1,506,207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,770 : 725,828 = 725,828 : x
  2. Step 2: Convert to fraction form
    349,770/725,828 = 725,828/x
  3. Step 3: Cross multiply
    349,770x = 725,828 × 725,828
  4. Step 4: Simplify right side
    349,770x = 526,826,285,584
  5. Step 5: Solve for x
    x = 526,826,285,584/349,770
  6. Step 6: Final answer
    x = 1,506,207.75

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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.