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Finding the Third Proportional to 360,078 and 580,018.50

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Solution

The third proportional to 360,078 and 580,018.50 is: 934,301.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,078 : 580,018.50 = 580,018.50 : x
  2. Step 2: Convert to fraction form
    360,078/580,018.50 = 580,018.50/x
  3. Step 3: Cross multiply
    360,078x = 580,018.50 × 580,018.50
  4. Step 4: Simplify right side
    360,078x = 336,421,460,342.25
  5. Step 5: Solve for x
    x = 336,421,460,342.25/360,078
  6. Step 6: Final answer
    x = 934,301.62

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.