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Finding the Third Proportional to 272,068 and 596,648

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Solution

The third proportional to 272,068 and 596,648 is: 1,308,455.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,068 : 596,648 = 596,648 : x
  2. Step 2: Convert to fraction form
    272,068/596,648 = 596,648/x
  3. Step 3: Cross multiply
    272,068x = 596,648 × 596,648
  4. Step 4: Simplify right side
    272,068x = 355,988,835,904
  5. Step 5: Solve for x
    x = 355,988,835,904/272,068
  6. Step 6: Final answer
    x = 1,308,455.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.