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Finding the Third Proportional to 232,964 and 499,168

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Solution

The third proportional to 232,964 and 499,168 is: 1,069,558.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,964 : 499,168 = 499,168 : x
  2. Step 2: Convert to fraction form
    232,964/499,168 = 499,168/x
  3. Step 3: Cross multiply
    232,964x = 499,168 × 499,168
  4. Step 4: Simplify right side
    232,964x = 249,168,692,224
  5. Step 5: Solve for x
    x = 249,168,692,224/232,964
  6. Step 6: Final answer
    x = 1,069,558.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.