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Finding the Third Proportional to 355,501.13 and 760,825.13

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Solution

The third proportional to 355,501.13 and 760,825.13 is: 1,628,278.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,501.13 : 760,825.13 = 760,825.13 : x
  2. Step 2: Convert to fraction form
    355,501.13/760,825.13 = 760,825.13/x
  3. Step 3: Cross multiply
    355,501.13x = 760,825.13 × 760,825.13
  4. Step 4: Simplify right side
    355,501.13x = 578,854,870,831.27
  5. Step 5: Solve for x
    x = 578,854,870,831.27/355,501.13
  6. Step 6: Final answer
    x = 1,628,278.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.