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Finding the Third Proportional to 294,921 and 645,036.38

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Solution

The third proportional to 294,921 and 645,036.38 is: 1,410,791.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,921 : 645,036.38 = 645,036.38 : x
  2. Step 2: Convert to fraction form
    294,921/645,036.38 = 645,036.38/x
  3. Step 3: Cross multiply
    294,921x = 645,036.38 × 645,036.38
  4. Step 4: Simplify right side
    294,921x = 416,071,925,073.14
  5. Step 5: Solve for x
    x = 416,071,925,073.14/294,921
  6. Step 6: Final answer
    x = 1,410,791.11

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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.