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Finding the Third Proportional to 608,263 and 889,282

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Solution

The third proportional to 608,263 and 889,282 is: 1,300,132.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,263 : 889,282 = 889,282 : x
  2. Step 2: Convert to fraction form
    608,263/889,282 = 889,282/x
  3. Step 3: Cross multiply
    608,263x = 889,282 × 889,282
  4. Step 4: Simplify right side
    608,263x = 790,822,475,524
  5. Step 5: Solve for x
    x = 790,822,475,524/608,263
  6. Step 6: Final answer
    x = 1,300,132.47

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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.