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Finding the Third Proportional to 489,317.63 and 586,234.13

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Solution

The third proportional to 489,317.63 and 586,234.13 is: 702,346.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,317.63 : 586,234.13 = 586,234.13 : x
  2. Step 2: Convert to fraction form
    489,317.63/586,234.13 = 586,234.13/x
  3. Step 3: Cross multiply
    489,317.63x = 586,234.13 × 586,234.13
  4. Step 4: Simplify right side
    489,317.63x = 343,670,449,314.52
  5. Step 5: Solve for x
    x = 343,670,449,314.52/489,317.63
  6. Step 6: Final answer
    x = 702,346.35

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.