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Finding the Third Proportional to 565,111.25 and 847,668

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Solution

The third proportional to 565,111.25 and 847,668 is: 1,271,503.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,111.25 : 847,668 = 847,668 : x
  2. Step 2: Convert to fraction form
    565,111.25/847,668 = 847,668/x
  3. Step 3: Cross multiply
    565,111.25x = 847,668 × 847,668
  4. Step 4: Simplify right side
    565,111.25x = 718,541,038,224
  5. Step 5: Solve for x
    x = 718,541,038,224/565,111.25
  6. Step 6: Final answer
    x = 1,271,503.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.