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Finding the Third Proportional to 585,800 and 857,964

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Solution

The third proportional to 585,800 and 857,964 is: 1,256,576.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,800 : 857,964 = 857,964 : x
  2. Step 2: Convert to fraction form
    585,800/857,964 = 857,964/x
  3. Step 3: Cross multiply
    585,800x = 857,964 × 857,964
  4. Step 4: Simplify right side
    585,800x = 736,102,225,296
  5. Step 5: Solve for x
    x = 736,102,225,296/585,800
  6. Step 6: Final answer
    x = 1,256,576.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.