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Finding the Third Proportional to 460,834.88 and 705,285.56

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Solution

The third proportional to 460,834.88 and 705,285.56 is: 1,079,405.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,834.88 : 705,285.56 = 705,285.56 : x
  2. Step 2: Convert to fraction form
    460,834.88/705,285.56 = 705,285.56/x
  3. Step 3: Cross multiply
    460,834.88x = 705,285.56 × 705,285.56
  4. Step 4: Simplify right side
    460,834.88x = 497,427,724,670.94
  5. Step 5: Solve for x
    x = 497,427,724,670.94/460,834.88
  6. Step 6: Final answer
    x = 1,079,405.56

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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.