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Finding the Third Proportional to 338,670 and 723,996

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Solution

The third proportional to 338,670 and 723,996 is: 1,547,731.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,670 : 723,996 = 723,996 : x
  2. Step 2: Convert to fraction form
    338,670/723,996 = 723,996/x
  3. Step 3: Cross multiply
    338,670x = 723,996 × 723,996
  4. Step 4: Simplify right side
    338,670x = 524,170,208,016
  5. Step 5: Solve for x
    x = 524,170,208,016/338,670
  6. Step 6: Final answer
    x = 1,547,731.44

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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.