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Finding the Third Proportional to 210,008 and 493,648

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Solution

The third proportional to 210,008 and 493,648 is: 1,160,376.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,008 : 493,648 = 493,648 : x
  2. Step 2: Convert to fraction form
    210,008/493,648 = 493,648/x
  3. Step 3: Cross multiply
    210,008x = 493,648 × 493,648
  4. Step 4: Simplify right side
    210,008x = 243,688,347,904
  5. Step 5: Solve for x
    x = 243,688,347,904/210,008
  6. Step 6: Final answer
    x = 1,160,376.50

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.