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Finding the Third Proportional to 366,312 and 760,686

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Solution

The third proportional to 366,312 and 760,686 is: 1,579,645.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,312 : 760,686 = 760,686 : x
  2. Step 2: Convert to fraction form
    366,312/760,686 = 760,686/x
  3. Step 3: Cross multiply
    366,312x = 760,686 × 760,686
  4. Step 4: Simplify right side
    366,312x = 578,643,190,596
  5. Step 5: Solve for x
    x = 578,643,190,596/366,312
  6. Step 6: Final answer
    x = 1,579,645.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.