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Finding the Third Proportional to 369,369 and 797,058

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Solution

The third proportional to 369,369 and 797,058 is: 1,719,964.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,369 : 797,058 = 797,058 : x
  2. Step 2: Convert to fraction form
    369,369/797,058 = 797,058/x
  3. Step 3: Cross multiply
    369,369x = 797,058 × 797,058
  4. Step 4: Simplify right side
    369,369x = 635,301,455,364
  5. Step 5: Solve for x
    x = 635,301,455,364/369,369
  6. Step 6: Final answer
    x = 1,719,964.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.