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Finding the Third Proportional to 262,830 and 571,614

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Solution

The third proportional to 262,830 and 571,614 is: 1,243,170.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,830 : 571,614 = 571,614 : x
  2. Step 2: Convert to fraction form
    262,830/571,614 = 571,614/x
  3. Step 3: Cross multiply
    262,830x = 571,614 × 571,614
  4. Step 4: Simplify right side
    262,830x = 326,742,564,996
  5. Step 5: Solve for x
    x = 326,742,564,996/262,830
  6. Step 6: Final answer
    x = 1,243,170.74

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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.