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Finding the Third Proportional to 335,826 and 912,465

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Solution

The third proportional to 335,826 and 912,465 is: 2,479,237.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,826 : 912,465 = 912,465 : x
  2. Step 2: Convert to fraction form
    335,826/912,465 = 912,465/x
  3. Step 3: Cross multiply
    335,826x = 912,465 × 912,465
  4. Step 4: Simplify right side
    335,826x = 832,592,376,225
  5. Step 5: Solve for x
    x = 832,592,376,225/335,826
  6. Step 6: Final answer
    x = 2,479,237.39

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.