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Finding the Third Proportional to 532,326 and 846,573

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Solution

The third proportional to 532,326 and 846,573 is: 1,346,328.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,326 : 846,573 = 846,573 : x
  2. Step 2: Convert to fraction form
    532,326/846,573 = 846,573/x
  3. Step 3: Cross multiply
    532,326x = 846,573 × 846,573
  4. Step 4: Simplify right side
    532,326x = 716,685,844,329
  5. Step 5: Solve for x
    x = 716,685,844,329/532,326
  6. Step 6: Final answer
    x = 1,346,328.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.