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Finding the Third Proportional to 598,932 and 876,102

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Solution

The third proportional to 598,932 and 876,102 is: 1,281,539.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,932 : 876,102 = 876,102 : x
  2. Step 2: Convert to fraction form
    598,932/876,102 = 876,102/x
  3. Step 3: Cross multiply
    598,932x = 876,102 × 876,102
  4. Step 4: Simplify right side
    598,932x = 767,554,714,404
  5. Step 5: Solve for x
    x = 767,554,714,404/598,932
  6. Step 6: Final answer
    x = 1,281,539.00

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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.