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Finding the Third Proportional to 371,718 and 590,804

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Solution

The third proportional to 371,718 and 590,804 is: 939,016.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,718 : 590,804 = 590,804 : x
  2. Step 2: Convert to fraction form
    371,718/590,804 = 590,804/x
  3. Step 3: Cross multiply
    371,718x = 590,804 × 590,804
  4. Step 4: Simplify right side
    371,718x = 349,049,366,416
  5. Step 5: Solve for x
    x = 349,049,366,416/371,718
  6. Step 6: Final answer
    x = 939,016.58

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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.