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Finding the Third Proportional to 434,336 and 934,336

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Solution

The third proportional to 434,336 and 934,336 is: 2,009,927.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,336 : 934,336 = 934,336 : x
  2. Step 2: Convert to fraction form
    434,336/934,336 = 934,336/x
  3. Step 3: Cross multiply
    434,336x = 934,336 × 934,336
  4. Step 4: Simplify right side
    434,336x = 872,983,760,896
  5. Step 5: Solve for x
    x = 872,983,760,896/434,336
  6. Step 6: Final answer
    x = 2,009,927.25

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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.