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Finding the Third Proportional to 441,303 and 681,907.50

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Solution

The third proportional to 441,303 and 681,907.50 is: 1,053,692.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,303 : 681,907.50 = 681,907.50 : x
  2. Step 2: Convert to fraction form
    441,303/681,907.50 = 681,907.50/x
  3. Step 3: Cross multiply
    441,303x = 681,907.50 × 681,907.50
  4. Step 4: Simplify right side
    441,303x = 464,997,838,556.25
  5. Step 5: Solve for x
    x = 464,997,838,556.25/441,303
  6. Step 6: Final answer
    x = 1,053,692.90

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.