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Finding the Third Proportional to 560,826 and 841,950

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Solution

The third proportional to 560,826 and 841,950 is: 1,263,992.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,826 : 841,950 = 841,950 : x
  2. Step 2: Convert to fraction form
    560,826/841,950 = 841,950/x
  3. Step 3: Cross multiply
    560,826x = 841,950 × 841,950
  4. Step 4: Simplify right side
    560,826x = 708,879,802,500
  5. Step 5: Solve for x
    x = 708,879,802,500/560,826
  6. Step 6: Final answer
    x = 1,263,992.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.