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Finding the Third Proportional to 352,215 and 760,706

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Solution

The third proportional to 352,215 and 760,706 is: 1,642,955.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,215 : 760,706 = 760,706 : x
  2. Step 2: Convert to fraction form
    352,215/760,706 = 760,706/x
  3. Step 3: Cross multiply
    352,215x = 760,706 × 760,706
  4. Step 4: Simplify right side
    352,215x = 578,673,618,436
  5. Step 5: Solve for x
    x = 578,673,618,436/352,215
  6. Step 6: Final answer
    x = 1,642,955.63

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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.