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Finding the Third Proportional to 369,900 and 872,658

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Solution

The third proportional to 369,900 and 872,658 is: 2,058,750.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,900 : 872,658 = 872,658 : x
  2. Step 2: Convert to fraction form
    369,900/872,658 = 872,658/x
  3. Step 3: Cross multiply
    369,900x = 872,658 × 872,658
  4. Step 4: Simplify right side
    369,900x = 761,531,984,964
  5. Step 5: Solve for x
    x = 761,531,984,964/369,900
  6. Step 6: Final answer
    x = 2,058,750.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.