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Finding the Third Proportional to 352,146 and 760,412

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Solution

The third proportional to 352,146 and 760,412 is: 1,642,007.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,146 : 760,412 = 760,412 : x
  2. Step 2: Convert to fraction form
    352,146/760,412 = 760,412/x
  3. Step 3: Cross multiply
    352,146x = 760,412 × 760,412
  4. Step 4: Simplify right side
    352,146x = 578,226,409,744
  5. Step 5: Solve for x
    x = 578,226,409,744/352,146
  6. Step 6: Final answer
    x = 1,642,007.60

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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.