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Finding the Third Proportional to 270,123 and 586,038

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Solution

The third proportional to 270,123 and 586,038 is: 1,271,422.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,123 : 586,038 = 586,038 : x
  2. Step 2: Convert to fraction form
    270,123/586,038 = 586,038/x
  3. Step 3: Cross multiply
    270,123x = 586,038 × 586,038
  4. Step 4: Simplify right side
    270,123x = 343,440,537,444
  5. Step 5: Solve for x
    x = 343,440,537,444/270,123
  6. Step 6: Final answer
    x = 1,271,422.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.