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Finding the Third Proportional to 360,332 and 765,110.50

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Solution

The third proportional to 360,332 and 765,110.50 is: 1,624,596.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,332 : 765,110.50 = 765,110.50 : x
  2. Step 2: Convert to fraction form
    360,332/765,110.50 = 765,110.50/x
  3. Step 3: Cross multiply
    360,332x = 765,110.50 × 765,110.50
  4. Step 4: Simplify right side
    360,332x = 585,394,077,210.25
  5. Step 5: Solve for x
    x = 585,394,077,210.25/360,332
  6. Step 6: Final answer
    x = 1,624,596.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.