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Finding the Third Proportional to 233,408 and 510,772

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Solution

The third proportional to 233,408 and 510,772 is: 1,117,733.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,408 : 510,772 = 510,772 : x
  2. Step 2: Convert to fraction form
    233,408/510,772 = 510,772/x
  3. Step 3: Cross multiply
    233,408x = 510,772 × 510,772
  4. Step 4: Simplify right side
    233,408x = 260,888,035,984
  5. Step 5: Solve for x
    x = 260,888,035,984/233,408
  6. Step 6: Final answer
    x = 1,117,733.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.