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Finding the Third Proportional to 460,837 and 705,288.50

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Solution

The third proportional to 460,837 and 705,288.50 is: 1,079,409.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,837 : 705,288.50 = 705,288.50 : x
  2. Step 2: Convert to fraction form
    460,837/705,288.50 = 705,288.50/x
  3. Step 3: Cross multiply
    460,837x = 705,288.50 × 705,288.50
  4. Step 4: Simplify right side
    460,837x = 497,431,868,232.25
  5. Step 5: Solve for x
    x = 497,431,868,232.25/460,837
  6. Step 6: Final answer
    x = 1,079,409.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.