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Finding the Third Proportional to 349,056 and 760,320

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Solution

The third proportional to 349,056 and 760,320 is: 1,656,142.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,056 : 760,320 = 760,320 : x
  2. Step 2: Convert to fraction form
    349,056/760,320 = 760,320/x
  3. Step 3: Cross multiply
    349,056x = 760,320 × 760,320
  4. Step 4: Simplify right side
    349,056x = 578,086,502,400
  5. Step 5: Solve for x
    x = 578,086,502,400/349,056
  6. Step 6: Final answer
    x = 1,656,142.57

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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.