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Finding the Third Proportional to 369,368 and 797,056

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Solution

The third proportional to 369,368 and 797,056 is: 1,719,960.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,368 : 797,056 = 797,056 : x
  2. Step 2: Convert to fraction form
    369,368/797,056 = 797,056/x
  3. Step 3: Cross multiply
    369,368x = 797,056 × 797,056
  4. Step 4: Simplify right side
    369,368x = 635,298,267,136
  5. Step 5: Solve for x
    x = 635,298,267,136/369,368
  6. Step 6: Final answer
    x = 1,719,960.22

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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.