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Finding the Third Proportional to 295,771.50 and 645,597

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Solution

The third proportional to 295,771.50 and 645,597 is: 1,409,180.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,771.50 : 645,597 = 645,597 : x
  2. Step 2: Convert to fraction form
    295,771.50/645,597 = 645,597/x
  3. Step 3: Cross multiply
    295,771.50x = 645,597 × 645,597
  4. Step 4: Simplify right side
    295,771.50x = 416,795,486,409
  5. Step 5: Solve for x
    x = 416,795,486,409/295,771.50
  6. Step 6: Final answer
    x = 1,409,180.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.