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Finding the Third Proportional to 501,738 and 715,235

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Solution

The third proportional to 501,738 and 715,235 is: 1,019,578.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,738 : 715,235 = 715,235 : x
  2. Step 2: Convert to fraction form
    501,738/715,235 = 715,235/x
  3. Step 3: Cross multiply
    501,738x = 715,235 × 715,235
  4. Step 4: Simplify right side
    501,738x = 511,561,105,225
  5. Step 5: Solve for x
    x = 511,561,105,225/501,738
  6. Step 6: Final answer
    x = 1,019,578.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.