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Finding the Third Proportional to 295,561.50 and 640,515

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Solution

The third proportional to 295,561.50 and 640,515 is: 1,388,068.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,561.50 : 640,515 = 640,515 : x
  2. Step 2: Convert to fraction form
    295,561.50/640,515 = 640,515/x
  3. Step 3: Cross multiply
    295,561.50x = 640,515 × 640,515
  4. Step 4: Simplify right side
    295,561.50x = 410,259,465,225
  5. Step 5: Solve for x
    x = 410,259,465,225/295,561.50
  6. Step 6: Final answer
    x = 1,388,068.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.