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Finding the Third Proportional to 608,264 and 889,284

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Solution

The third proportional to 608,264 and 889,284 is: 1,300,136.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,264 : 889,284 = 889,284 : x
  2. Step 2: Convert to fraction form
    608,264/889,284 = 889,284/x
  3. Step 3: Cross multiply
    608,264x = 889,284 × 889,284
  4. Step 4: Simplify right side
    608,264x = 790,826,032,656
  5. Step 5: Solve for x
    x = 790,826,032,656/608,264
  6. Step 6: Final answer
    x = 1,300,136.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.