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Finding the Third Proportional to 364,890 and 797,030

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Solution

The third proportional to 364,890 and 797,030 is: 1,740,954.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,890 : 797,030 = 797,030 : x
  2. Step 2: Convert to fraction form
    364,890/797,030 = 797,030/x
  3. Step 3: Cross multiply
    364,890x = 797,030 × 797,030
  4. Step 4: Simplify right side
    364,890x = 635,256,820,900
  5. Step 5: Solve for x
    x = 635,256,820,900/364,890
  6. Step 6: Final answer
    x = 1,740,954.32

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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.