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Finding the Third Proportional to 355,258 and 760,900

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Solution

The third proportional to 355,258 and 760,900 is: 1,629,713.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,258 : 760,900 = 760,900 : x
  2. Step 2: Convert to fraction form
    355,258/760,900 = 760,900/x
  3. Step 3: Cross multiply
    355,258x = 760,900 × 760,900
  4. Step 4: Simplify right side
    355,258x = 578,968,810,000
  5. Step 5: Solve for x
    x = 578,968,810,000/355,258
  6. Step 6: Final answer
    x = 1,629,713.64

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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.