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Finding the Third Proportional to 592,035 and 902,788.50

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Solution

The third proportional to 592,035 and 902,788.50 is: 1,376,653.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,035 : 902,788.50 = 902,788.50 : x
  2. Step 2: Convert to fraction form
    592,035/902,788.50 = 902,788.50/x
  3. Step 3: Cross multiply
    592,035x = 902,788.50 × 902,788.50
  4. Step 4: Simplify right side
    592,035x = 815,027,075,732.25
  5. Step 5: Solve for x
    x = 815,027,075,732.25/592,035
  6. Step 6: Final answer
    x = 1,376,653.54

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.