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Finding the Third Proportional to 358,758 and 562,837.50

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Solution

The third proportional to 358,758 and 562,837.50 is: 883,007.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,758 : 562,837.50 = 562,837.50 : x
  2. Step 2: Convert to fraction form
    358,758/562,837.50 = 562,837.50/x
  3. Step 3: Cross multiply
    358,758x = 562,837.50 × 562,837.50
  4. Step 4: Simplify right side
    358,758x = 316,786,051,406.25
  5. Step 5: Solve for x
    x = 316,786,051,406.25/358,758
  6. Step 6: Final answer
    x = 883,007.63

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.