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Finding the Third Proportional to 435,013 and 963,341

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Solution

The third proportional to 435,013 and 963,341 is: 2,133,329.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,013 : 963,341 = 963,341 : x
  2. Step 2: Convert to fraction form
    435,013/963,341 = 963,341/x
  3. Step 3: Cross multiply
    435,013x = 963,341 × 963,341
  4. Step 4: Simplify right side
    435,013x = 928,025,882,281
  5. Step 5: Solve for x
    x = 928,025,882,281/435,013
  6. Step 6: Final answer
    x = 2,133,329.08

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.