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Finding the Third Proportional to 338,650 and 723,956

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Solution

The third proportional to 338,650 and 723,956 is: 1,547,651.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,650 : 723,956 = 723,956 : x
  2. Step 2: Convert to fraction form
    338,650/723,956 = 723,956/x
  3. Step 3: Cross multiply
    338,650x = 723,956 × 723,956
  4. Step 4: Simplify right side
    338,650x = 524,112,289,936
  5. Step 5: Solve for x
    x = 524,112,289,936/338,650
  6. Step 6: Final answer
    x = 1,547,651.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.