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Finding the Third Proportional to 298,030 and 581,074

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Solution

The third proportional to 298,030 and 581,074 is: 1,132,929.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,030 : 581,074 = 581,074 : x
  2. Step 2: Convert to fraction form
    298,030/581,074 = 581,074/x
  3. Step 3: Cross multiply
    298,030x = 581,074 × 581,074
  4. Step 4: Simplify right side
    298,030x = 337,646,993,476
  5. Step 5: Solve for x
    x = 337,646,993,476/298,030
  6. Step 6: Final answer
    x = 1,132,929.55

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.