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Finding the Third Proportional to 402,467 and 874,820.50

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Solution

The third proportional to 402,467 and 874,820.50 is: 1,901,549.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,467 : 874,820.50 = 874,820.50 : x
  2. Step 2: Convert to fraction form
    402,467/874,820.50 = 874,820.50/x
  3. Step 3: Cross multiply
    402,467x = 874,820.50 × 874,820.50
  4. Step 4: Simplify right side
    402,467x = 765,310,907,220.25
  5. Step 5: Solve for x
    x = 765,310,907,220.25/402,467
  6. Step 6: Final answer
    x = 1,901,549.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.