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Finding the Third Proportional to 233,539 and 507,901

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Solution

The third proportional to 233,539 and 507,901 is: 1,104,583.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,539 : 507,901 = 507,901 : x
  2. Step 2: Convert to fraction form
    233,539/507,901 = 507,901/x
  3. Step 3: Cross multiply
    233,539x = 507,901 × 507,901
  4. Step 4: Simplify right side
    233,539x = 257,963,425,801
  5. Step 5: Solve for x
    x = 257,963,425,801/233,539
  6. Step 6: Final answer
    x = 1,104,583.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.