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Finding the Third Proportional to 261,914 and 571,804

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Solution

The third proportional to 261,914 and 571,804 is: 1,248,347.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,914 : 571,804 = 571,804 : x
  2. Step 2: Convert to fraction form
    261,914/571,804 = 571,804/x
  3. Step 3: Cross multiply
    261,914x = 571,804 × 571,804
  4. Step 4: Simplify right side
    261,914x = 326,959,814,416
  5. Step 5: Solve for x
    x = 326,959,814,416/261,914
  6. Step 6: Final answer
    x = 1,248,347.99

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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.