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Finding the Third Proportional to 434,338 and 934,340

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Solution

The third proportional to 434,338 and 934,340 is: 2,009,935.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,338 : 934,340 = 934,340 : x
  2. Step 2: Convert to fraction form
    434,338/934,340 = 934,340/x
  3. Step 3: Cross multiply
    434,338x = 934,340 × 934,340
  4. Step 4: Simplify right side
    434,338x = 872,991,235,600
  5. Step 5: Solve for x
    x = 872,991,235,600/434,338
  6. Step 6: Final answer
    x = 2,009,935.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.