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Finding the Third Proportional to 368,606 and 586,119

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Solution

The third proportional to 368,606 and 586,119 is: 931,985.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,606 : 586,119 = 586,119 : x
  2. Step 2: Convert to fraction form
    368,606/586,119 = 586,119/x
  3. Step 3: Cross multiply
    368,606x = 586,119 × 586,119
  4. Step 4: Simplify right side
    368,606x = 343,535,482,161
  5. Step 5: Solve for x
    x = 343,535,482,161/368,606
  6. Step 6: Final answer
    x = 931,985.59

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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.