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Finding the Third Proportional to 463,896 and 718,289

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Solution

The third proportional to 463,896 and 718,289 is: 1,112,186.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,896 : 718,289 = 718,289 : x
  2. Step 2: Convert to fraction form
    463,896/718,289 = 718,289/x
  3. Step 3: Cross multiply
    463,896x = 718,289 × 718,289
  4. Step 4: Simplify right side
    463,896x = 515,939,087,521
  5. Step 5: Solve for x
    x = 515,939,087,521/463,896
  6. Step 6: Final answer
    x = 1,112,186.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.