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Finding the Third Proportional to 294,920.50 and 645,034.50

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Solution

The third proportional to 294,920.50 and 645,034.50 is: 1,410,785.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,920.50 : 645,034.50 = 645,034.50 : x
  2. Step 2: Convert to fraction form
    294,920.50/645,034.50 = 645,034.50/x
  3. Step 3: Cross multiply
    294,920.50x = 645,034.50 × 645,034.50
  4. Step 4: Simplify right side
    294,920.50x = 416,069,506,190.25
  5. Step 5: Solve for x
    x = 416,069,506,190.25/294,920.50
  6. Step 6: Final answer
    x = 1,410,785.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.