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Finding the Third Proportional to 290,317.50 and 592,297.50

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Solution

The third proportional to 290,317.50 and 592,297.50 is: 1,208,388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,317.50 : 592,297.50 = 592,297.50 : x
  2. Step 2: Convert to fraction form
    290,317.50/592,297.50 = 592,297.50/x
  3. Step 3: Cross multiply
    290,317.50x = 592,297.50 × 592,297.50
  4. Step 4: Simplify right side
    290,317.50x = 350,816,328,506.25
  5. Step 5: Solve for x
    x = 350,816,328,506.25/290,317.50
  6. Step 6: Final answer
    x = 1,208,388.50

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.