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Finding the Third Proportional to 366,985 and 759,140

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Solution

The third proportional to 366,985 and 759,140 is: 1,570,346.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,985 : 759,140 = 759,140 : x
  2. Step 2: Convert to fraction form
    366,985/759,140 = 759,140/x
  3. Step 3: Cross multiply
    366,985x = 759,140 × 759,140
  4. Step 4: Simplify right side
    366,985x = 576,293,539,600
  5. Step 5: Solve for x
    x = 576,293,539,600/366,985
  6. Step 6: Final answer
    x = 1,570,346.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.