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Finding the Third Proportional to 261,710 and 571,036

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Solution

The third proportional to 261,710 and 571,036 is: 1,245,967.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,710 : 571,036 = 571,036 : x
  2. Step 2: Convert to fraction form
    261,710/571,036 = 571,036/x
  3. Step 3: Cross multiply
    261,710x = 571,036 × 571,036
  4. Step 4: Simplify right side
    261,710x = 326,082,113,296
  5. Step 5: Solve for x
    x = 326,082,113,296/261,710
  6. Step 6: Final answer
    x = 1,245,967.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.