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Finding the Third Proportional to 333,051.75 and 507,870

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Solution

The third proportional to 333,051.75 and 507,870 is: 774,450.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,051.75 : 507,870 = 507,870 : x
  2. Step 2: Convert to fraction form
    333,051.75/507,870 = 507,870/x
  3. Step 3: Cross multiply
    333,051.75x = 507,870 × 507,870
  4. Step 4: Simplify right side
    333,051.75x = 257,931,936,900
  5. Step 5: Solve for x
    x = 257,931,936,900/333,051.75
  6. Step 6: Final answer
    x = 774,450.03

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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.