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Finding the Third Proportional to 366,266 and 760,602

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Solution

The third proportional to 366,266 and 760,602 is: 1,579,495.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,266 : 760,602 = 760,602 : x
  2. Step 2: Convert to fraction form
    366,266/760,602 = 760,602/x
  3. Step 3: Cross multiply
    366,266x = 760,602 × 760,602
  4. Step 4: Simplify right side
    366,266x = 578,515,402,404
  5. Step 5: Solve for x
    x = 578,515,402,404/366,266
  6. Step 6: Final answer
    x = 1,579,495.24

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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.