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Finding the Third Proportional to 233,202 and 515,409

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Solution

The third proportional to 233,202 and 515,409 is: 1,139,125.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,202 : 515,409 = 515,409 : x
  2. Step 2: Convert to fraction form
    233,202/515,409 = 515,409/x
  3. Step 3: Cross multiply
    233,202x = 515,409 × 515,409
  4. Step 4: Simplify right side
    233,202x = 265,646,437,281
  5. Step 5: Solve for x
    x = 265,646,437,281/233,202
  6. Step 6: Final answer
    x = 1,139,125.90

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.