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Finding the Third Proportional to 368,416.13 and 585,835.88

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Solution

The third proportional to 368,416.13 and 585,835.88 is: 931,565.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,416.13 : 585,835.88 = 585,835.88 : x
  2. Step 2: Convert to fraction form
    368,416.13/585,835.88 = 585,835.88/x
  3. Step 3: Cross multiply
    368,416.13x = 585,835.88 × 585,835.88
  4. Step 4: Simplify right side
    368,416.13x = 343,203,672,437.02
  5. Step 5: Solve for x
    x = 343,203,672,437.02/368,416.13
  6. Step 6: Final answer
    x = 931,565.28

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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.