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Finding the Third Proportional to 368,456 and 585,894

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Solution

The third proportional to 368,456 and 585,894 is: 931,649.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,456 : 585,894 = 585,894 : x
  2. Step 2: Convert to fraction form
    368,456/585,894 = 585,894/x
  3. Step 3: Cross multiply
    368,456x = 585,894 × 585,894
  4. Step 4: Simplify right side
    368,456x = 343,271,779,236
  5. Step 5: Solve for x
    x = 343,271,779,236/368,456
  6. Step 6: Final answer
    x = 931,649.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.