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Finding the Third Proportional to 467,838 and 705,083

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Solution

The third proportional to 467,838 and 705,083 is: 1,062,637.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,838 : 705,083 = 705,083 : x
  2. Step 2: Convert to fraction form
    467,838/705,083 = 705,083/x
  3. Step 3: Cross multiply
    467,838x = 705,083 × 705,083
  4. Step 4: Simplify right side
    467,838x = 497,142,036,889
  5. Step 5: Solve for x
    x = 497,142,036,889/467,838
  6. Step 6: Final answer
    x = 1,062,637.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.