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Finding the Third Proportional to 352,074 and 760,263

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Solution

The third proportional to 352,074 and 760,263 is: 1,641,699.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,074 : 760,263 = 760,263 : x
  2. Step 2: Convert to fraction form
    352,074/760,263 = 760,263/x
  3. Step 3: Cross multiply
    352,074x = 760,263 × 760,263
  4. Step 4: Simplify right side
    352,074x = 577,999,829,169
  5. Step 5: Solve for x
    x = 577,999,829,169/352,074
  6. Step 6: Final answer
    x = 1,641,699.84

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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.