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Finding the Third Proportional to 368,421 and 585,842

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Solution

The third proportional to 368,421 and 585,842 is: 931,572.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,421 : 585,842 = 585,842 : x
  2. Step 2: Convert to fraction form
    368,421/585,842 = 585,842/x
  3. Step 3: Cross multiply
    368,421x = 585,842 × 585,842
  4. Step 4: Simplify right side
    368,421x = 343,210,848,964
  5. Step 5: Solve for x
    x = 343,210,848,964/368,421
  6. Step 6: Final answer
    x = 931,572.44

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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.