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Finding the Third Proportional to 233,780 and 507,412

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Solution

The third proportional to 233,780 and 507,412 is: 1,101,321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,780 : 507,412 = 507,412 : x
  2. Step 2: Convert to fraction form
    233,780/507,412 = 507,412/x
  3. Step 3: Cross multiply
    233,780x = 507,412 × 507,412
  4. Step 4: Simplify right side
    233,780x = 257,466,937,744
  5. Step 5: Solve for x
    x = 257,466,937,744/233,780
  6. Step 6: Final answer
    x = 1,101,321.49

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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.