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Finding the Third Proportional to 232,954 and 499,148

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Solution

The third proportional to 232,954 and 499,148 is: 1,069,518.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,954 : 499,148 = 499,148 : x
  2. Step 2: Convert to fraction form
    232,954/499,148 = 499,148/x
  3. Step 3: Cross multiply
    232,954x = 499,148 × 499,148
  4. Step 4: Simplify right side
    232,954x = 249,148,725,904
  5. Step 5: Solve for x
    x = 249,148,725,904/232,954
  6. Step 6: Final answer
    x = 1,069,518.99

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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.