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Finding the Third Proportional to 287,771 and 426,075

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Solution

The third proportional to 287,771 and 426,075 is: 630,848.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,771 : 426,075 = 426,075 : x
  2. Step 2: Convert to fraction form
    287,771/426,075 = 426,075/x
  3. Step 3: Cross multiply
    287,771x = 426,075 × 426,075
  4. Step 4: Simplify right side
    287,771x = 181,539,905,625
  5. Step 5: Solve for x
    x = 181,539,905,625/287,771
  6. Step 6: Final answer
    x = 630,848.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.