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Finding the Third Proportional to 369,739 and 567,964.50

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Solution

The third proportional to 369,739 and 567,964.50 is: 872,463.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,739 : 567,964.50 = 567,964.50 : x
  2. Step 2: Convert to fraction form
    369,739/567,964.50 = 567,964.50/x
  3. Step 3: Cross multiply
    369,739x = 567,964.50 × 567,964.50
  4. Step 4: Simplify right side
    369,739x = 322,583,673,260.25
  5. Step 5: Solve for x
    x = 322,583,673,260.25/369,739
  6. Step 6: Final answer
    x = 872,463.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.