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Finding the Third Proportional to 290,314 and 592,291.50

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Solution

The third proportional to 290,314 and 592,291.50 is: 1,208,378.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,314 : 592,291.50 = 592,291.50 : x
  2. Step 2: Convert to fraction form
    290,314/592,291.50 = 592,291.50/x
  3. Step 3: Cross multiply
    290,314x = 592,291.50 × 592,291.50
  4. Step 4: Simplify right side
    290,314x = 350,809,220,972.25
  5. Step 5: Solve for x
    x = 350,809,220,972.25/290,314
  6. Step 6: Final answer
    x = 1,208,378.59

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