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Finding the Third Proportional to 594,715 and 957,583

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Solution

The third proportional to 594,715 and 957,583 is: 1,541,856.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,715 : 957,583 = 957,583 : x
  2. Step 2: Convert to fraction form
    594,715/957,583 = 957,583/x
  3. Step 3: Cross multiply
    594,715x = 957,583 × 957,583
  4. Step 4: Simplify right side
    594,715x = 916,965,201,889
  5. Step 5: Solve for x
    x = 916,965,201,889/594,715
  6. Step 6: Final answer
    x = 1,541,856.52

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.