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Finding the Third Proportional to 532,245.94 and 842,686.03

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Solution

The third proportional to 532,245.94 and 842,686.03 is: 1,334,194.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,245.94 : 842,686.03 = 842,686.03 : x
  2. Step 2: Convert to fraction form
    532,245.94/842,686.03 = 842,686.03/x
  3. Step 3: Cross multiply
    532,245.94x = 842,686.03 × 842,686.03
  4. Step 4: Simplify right side
    532,245.94x = 710,119,747,263.88
  5. Step 5: Solve for x
    x = 710,119,747,263.88/532,245.94
  6. Step 6: Final answer
    x = 1,334,194.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.