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Finding the Third Proportional to 608,262 and 889,281

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Solution

The third proportional to 608,262 and 889,281 is: 1,300,131.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,262 : 889,281 = 889,281 : x
  2. Step 2: Convert to fraction form
    608,262/889,281 = 889,281/x
  3. Step 3: Cross multiply
    608,262x = 889,281 × 889,281
  4. Step 4: Simplify right side
    608,262x = 790,820,696,961
  5. Step 5: Solve for x
    x = 790,820,696,961/608,262
  6. Step 6: Final answer
    x = 1,300,131.68

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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.