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Finding the Third Proportional to 368,417 and 585,837.50

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Solution

The third proportional to 368,417 and 585,837.50 is: 931,568.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,417 : 585,837.50 = 585,837.50 : x
  2. Step 2: Convert to fraction form
    368,417/585,837.50 = 585,837.50/x
  3. Step 3: Cross multiply
    368,417x = 585,837.50 × 585,837.50
  4. Step 4: Simplify right side
    368,417x = 343,205,576,406.25
  5. Step 5: Solve for x
    x = 343,205,576,406.25/368,417
  6. Step 6: Final answer
    x = 931,568.24

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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.