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Finding the Third Proportional to 501,833 and 715,381

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Solution

The third proportional to 501,833 and 715,381 is: 1,019,801.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,833 : 715,381 = 715,381 : x
  2. Step 2: Convert to fraction form
    501,833/715,381 = 715,381/x
  3. Step 3: Cross multiply
    501,833x = 715,381 × 715,381
  4. Step 4: Simplify right side
    501,833x = 511,769,975,161
  5. Step 5: Solve for x
    x = 511,769,975,161/501,833
  6. Step 6: Final answer
    x = 1,019,801.36

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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.