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Finding the Third Proportional to 370,848 and 497,223

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Solution

The third proportional to 370,848 and 497,223 is: 666,663.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,848 : 497,223 = 497,223 : x
  2. Step 2: Convert to fraction form
    370,848/497,223 = 497,223/x
  3. Step 3: Cross multiply
    370,848x = 497,223 × 497,223
  4. Step 4: Simplify right side
    370,848x = 247,230,711,729
  5. Step 5: Solve for x
    x = 247,230,711,729/370,848
  6. Step 6: Final answer
    x = 666,663.19

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.