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Finding the Third Proportional to 597,944 and 805,557

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Solution

The third proportional to 597,944 and 805,557 is: 1,085,255.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,944 : 805,557 = 805,557 : x
  2. Step 2: Convert to fraction form
    597,944/805,557 = 805,557/x
  3. Step 3: Cross multiply
    597,944x = 805,557 × 805,557
  4. Step 4: Simplify right side
    597,944x = 648,922,080,249
  5. Step 5: Solve for x
    x = 648,922,080,249/597,944
  6. Step 6: Final answer
    x = 1,085,255.61

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.