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Finding the Third Proportional to 622,585.50 and 961,521

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Solution

The third proportional to 622,585.50 and 961,521 is: 1,484,972.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,585.50 : 961,521 = 961,521 : x
  2. Step 2: Convert to fraction form
    622,585.50/961,521 = 961,521/x
  3. Step 3: Cross multiply
    622,585.50x = 961,521 × 961,521
  4. Step 4: Simplify right side
    622,585.50x = 924,522,633,441
  5. Step 5: Solve for x
    x = 924,522,633,441/622,585.50
  6. Step 6: Final answer
    x = 1,484,972.96

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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.