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Finding the Third Proportional to 532,396 and 804,140

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Solution

The third proportional to 532,396 and 804,140 is: 1,214,586.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,396 : 804,140 = 804,140 : x
  2. Step 2: Convert to fraction form
    532,396/804,140 = 804,140/x
  3. Step 3: Cross multiply
    532,396x = 804,140 × 804,140
  4. Step 4: Simplify right side
    532,396x = 646,641,139,600
  5. Step 5: Solve for x
    x = 646,641,139,600/532,396
  6. Step 6: Final answer
    x = 1,214,586.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.