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Finding the Third Proportional to 430,944 and 916,356

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Solution

The third proportional to 430,944 and 916,356 is: 1,948,532.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,944 : 916,356 = 916,356 : x
  2. Step 2: Convert to fraction form
    430,944/916,356 = 916,356/x
  3. Step 3: Cross multiply
    430,944x = 916,356 × 916,356
  4. Step 4: Simplify right side
    430,944x = 839,708,318,736
  5. Step 5: Solve for x
    x = 839,708,318,736/430,944
  6. Step 6: Final answer
    x = 1,948,532.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.