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Finding the Third Proportional to 245,030 and 500,426

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Solution

The third proportional to 245,030 and 500,426 is: 1,022,022.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,030 : 500,426 = 500,426 : x
  2. Step 2: Convert to fraction form
    245,030/500,426 = 500,426/x
  3. Step 3: Cross multiply
    245,030x = 500,426 × 500,426
  4. Step 4: Simplify right side
    245,030x = 250,426,181,476
  5. Step 5: Solve for x
    x = 250,426,181,476/245,030
  6. Step 6: Final answer
    x = 1,022,022.53

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.