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Finding the Third Proportional to 366,585 and 766,688

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Solution

The third proportional to 366,585 and 766,688 is: 1,603,476.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,585 : 766,688 = 766,688 : x
  2. Step 2: Convert to fraction form
    366,585/766,688 = 766,688/x
  3. Step 3: Cross multiply
    366,585x = 766,688 × 766,688
  4. Step 4: Simplify right side
    366,585x = 587,810,489,344
  5. Step 5: Solve for x
    x = 587,810,489,344/366,585
  6. Step 6: Final answer
    x = 1,603,476.65

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.