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Finding the Third Proportional to 298,225 and 460,747

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Solution

The third proportional to 298,225 and 460,747 is: 711,837.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,225 : 460,747 = 460,747 : x
  2. Step 2: Convert to fraction form
    298,225/460,747 = 460,747/x
  3. Step 3: Cross multiply
    298,225x = 460,747 × 460,747
  4. Step 4: Simplify right side
    298,225x = 212,287,798,009
  5. Step 5: Solve for x
    x = 212,287,798,009/298,225
  6. Step 6: Final answer
    x = 711,837.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.