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Finding the Third Proportional to 656,173.50 and 1,364,724

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Solution

The third proportional to 656,173.50 and 1,364,724 is: 2,838,382.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,173.50 : 1,364,724 = 1,364,724 : x
  2. Step 2: Convert to fraction form
    656,173.50/1,364,724 = 1,364,724/x
  3. Step 3: Cross multiply
    656,173.50x = 1,364,724 × 1,364,724
  4. Step 4: Simplify right side
    656,173.50x = 1,862,471,596,176
  5. Step 5: Solve for x
    x = 1,862,471,596,176/656,173.50
  6. Step 6: Final answer
    x = 2,838,382.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.