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Finding the Third Proportional to 462,258 and 649,053

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Solution

The third proportional to 462,258 and 649,053 is: 911,330.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,258 : 649,053 = 649,053 : x
  2. Step 2: Convert to fraction form
    462,258/649,053 = 649,053/x
  3. Step 3: Cross multiply
    462,258x = 649,053 × 649,053
  4. Step 4: Simplify right side
    462,258x = 421,269,796,809
  5. Step 5: Solve for x
    x = 421,269,796,809/462,258
  6. Step 6: Final answer
    x = 911,330.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.