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Finding the Third Proportional to 270,102 and 592,044

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Solution

The third proportional to 270,102 and 592,044 is: 1,297,717.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,102 : 592,044 = 592,044 : x
  2. Step 2: Convert to fraction form
    270,102/592,044 = 592,044/x
  3. Step 3: Cross multiply
    270,102x = 592,044 × 592,044
  4. Step 4: Simplify right side
    270,102x = 350,516,097,936
  5. Step 5: Solve for x
    x = 350,516,097,936/270,102
  6. Step 6: Final answer
    x = 1,297,717.52

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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.