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Finding the Third Proportional to 585,520 and 873,423

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Solution

The third proportional to 585,520 and 873,423 is: 1,302,889.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,520 : 873,423 = 873,423 : x
  2. Step 2: Convert to fraction form
    585,520/873,423 = 873,423/x
  3. Step 3: Cross multiply
    585,520x = 873,423 × 873,423
  4. Step 4: Simplify right side
    585,520x = 762,867,736,929
  5. Step 5: Solve for x
    x = 762,867,736,929/585,520
  6. Step 6: Final answer
    x = 1,302,889.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.