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Finding the Third Proportional to 444,207 and 715,365

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Solution

The third proportional to 444,207 and 715,365 is: 1,152,046.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,207 : 715,365 = 715,365 : x
  2. Step 2: Convert to fraction form
    444,207/715,365 = 715,365/x
  3. Step 3: Cross multiply
    444,207x = 715,365 × 715,365
  4. Step 4: Simplify right side
    444,207x = 511,747,083,225
  5. Step 5: Solve for x
    x = 511,747,083,225/444,207
  6. Step 6: Final answer
    x = 1,152,046.42

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.