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Finding the Third Proportional to 335,338.50 and 507,343.50

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Solution

The third proportional to 335,338.50 and 507,343.50 is: 767,574.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,338.50 : 507,343.50 = 507,343.50 : x
  2. Step 2: Convert to fraction form
    335,338.50/507,343.50 = 507,343.50/x
  3. Step 3: Cross multiply
    335,338.50x = 507,343.50 × 507,343.50
  4. Step 4: Simplify right side
    335,338.50x = 257,397,426,992.25
  5. Step 5: Solve for x
    x = 257,397,426,992.25/335,338.50
  6. Step 6: Final answer
    x = 767,574.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.