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Finding the Third Proportional to 576,272 and 1,339,712

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Solution

The third proportional to 576,272 and 1,339,712 is: 3,114,550.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,272 : 1,339,712 = 1,339,712 : x
  2. Step 2: Convert to fraction form
    576,272/1,339,712 = 1,339,712/x
  3. Step 3: Cross multiply
    576,272x = 1,339,712 × 1,339,712
  4. Step 4: Simplify right side
    576,272x = 1,794,828,242,944
  5. Step 5: Solve for x
    x = 1,794,828,242,944/576,272
  6. Step 6: Final answer
    x = 3,114,550.50

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.