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Finding the Third Proportional to 233,798 and 507,448

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Solution

The third proportional to 233,798 and 507,448 is: 1,101,392.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,798 : 507,448 = 507,448 : x
  2. Step 2: Convert to fraction form
    233,798/507,448 = 507,448/x
  3. Step 3: Cross multiply
    233,798x = 507,448 × 507,448
  4. Step 4: Simplify right side
    233,798x = 257,503,472,704
  5. Step 5: Solve for x
    x = 257,503,472,704/233,798
  6. Step 6: Final answer
    x = 1,101,392.97

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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.