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Finding the Third Proportional to 374,101.88 and 774,805.50

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Solution

The third proportional to 374,101.88 and 774,805.50 is: 1,604,706.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,101.88 : 774,805.50 = 774,805.50 : x
  2. Step 2: Convert to fraction form
    374,101.88/774,805.50 = 774,805.50/x
  3. Step 3: Cross multiply
    374,101.88x = 774,805.50 × 774,805.50
  4. Step 4: Simplify right side
    374,101.88x = 600,323,562,830.25
  5. Step 5: Solve for x
    x = 600,323,562,830.25/374,101.88
  6. Step 6: Final answer
    x = 1,604,706.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.