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Finding the Third Proportional to 297,488 and 580,028

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Solution

The third proportional to 297,488 and 580,028 is: 1,130,911.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,488 : 580,028 = 580,028 : x
  2. Step 2: Convert to fraction form
    297,488/580,028 = 580,028/x
  3. Step 3: Cross multiply
    297,488x = 580,028 × 580,028
  4. Step 4: Simplify right side
    297,488x = 336,432,480,784
  5. Step 5: Solve for x
    x = 336,432,480,784/297,488
  6. Step 6: Final answer
    x = 1,130,911.10

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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.