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Finding the Third Proportional to 229,219 and 501,038

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Solution

The third proportional to 229,219 and 501,038 is: 1,095,193.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,219 : 501,038 = 501,038 : x
  2. Step 2: Convert to fraction form
    229,219/501,038 = 501,038/x
  3. Step 3: Cross multiply
    229,219x = 501,038 × 501,038
  4. Step 4: Simplify right side
    229,219x = 251,039,077,444
  5. Step 5: Solve for x
    x = 251,039,077,444/229,219
  6. Step 6: Final answer
    x = 1,095,193.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.