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Finding the Third Proportional to 229,609.37 and 499,063.15

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Solution

The third proportional to 229,609.37 and 499,063.15 is: 1,084,729.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,609.37 : 499,063.15 = 499,063.15 : x
  2. Step 2: Convert to fraction form
    229,609.37/499,063.15 = 499,063.15/x
  3. Step 3: Cross multiply
    229,609.37x = 499,063.15 × 499,063.15
  4. Step 4: Simplify right side
    229,609.37x = 249,064,026,128.35
  5. Step 5: Solve for x
    x = 249,064,026,128.35/229,609.37
  6. Step 6: Final answer
    x = 1,084,729.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.