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Finding the Third Proportional to 297,454 and 579,964

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Solution

The third proportional to 297,454 and 579,964 is: 1,130,790.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,454 : 579,964 = 579,964 : x
  2. Step 2: Convert to fraction form
    297,454/579,964 = 579,964/x
  3. Step 3: Cross multiply
    297,454x = 579,964 × 579,964
  4. Step 4: Simplify right side
    297,454x = 336,358,241,296
  5. Step 5: Solve for x
    x = 336,358,241,296/297,454
  6. Step 6: Final answer
    x = 1,130,790.78

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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.