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Finding the Third Proportional to 333,034.88 and 507,841.31

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Solution

The third proportional to 333,034.88 and 507,841.31 is: 774,401.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,034.88 : 507,841.31 = 507,841.31 : x
  2. Step 2: Convert to fraction form
    333,034.88/507,841.31 = 507,841.31/x
  3. Step 3: Cross multiply
    333,034.88x = 507,841.31 × 507,841.31
  4. Step 4: Simplify right side
    333,034.88x = 257,902,798,681.72
  5. Step 5: Solve for x
    x = 257,902,798,681.72/333,034.88
  6. Step 6: Final answer
    x = 774,401.78

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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.