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Finding the Third Proportional to 352,250 and 760,636

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Solution

The third proportional to 352,250 and 760,636 is: 1,642,490.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,250 : 760,636 = 760,636 : x
  2. Step 2: Convert to fraction form
    352,250/760,636 = 760,636/x
  3. Step 3: Cross multiply
    352,250x = 760,636 × 760,636
  4. Step 4: Simplify right side
    352,250x = 578,567,124,496
  5. Step 5: Solve for x
    x = 578,567,124,496/352,250
  6. Step 6: Final answer
    x = 1,642,490.06

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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.