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Finding the Third Proportional to 335,810 and 465,432

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Solution

The third proportional to 335,810 and 465,432 is: 645,087.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,810 : 465,432 = 465,432 : x
  2. Step 2: Convert to fraction form
    335,810/465,432 = 465,432/x
  3. Step 3: Cross multiply
    335,810x = 465,432 × 465,432
  4. Step 4: Simplify right side
    335,810x = 216,626,946,624
  5. Step 5: Solve for x
    x = 216,626,946,624/335,810
  6. Step 6: Final answer
    x = 645,087.84

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.