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Finding the Third Proportional to 338,669 and 723,994

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Solution

The third proportional to 338,669 and 723,994 is: 1,547,727.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,669 : 723,994 = 723,994 : x
  2. Step 2: Convert to fraction form
    338,669/723,994 = 723,994/x
  3. Step 3: Cross multiply
    338,669x = 723,994 × 723,994
  4. Step 4: Simplify right side
    338,669x = 524,167,312,036
  5. Step 5: Solve for x
    x = 524,167,312,036/338,669
  6. Step 6: Final answer
    x = 1,547,727.46

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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.