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Finding the Third Proportional to 233,044 and 499,324

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Solution

The third proportional to 233,044 and 499,324 is: 1,069,860.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,044 : 499,324 = 499,324 : x
  2. Step 2: Convert to fraction form
    233,044/499,324 = 499,324/x
  3. Step 3: Cross multiply
    233,044x = 499,324 × 499,324
  4. Step 4: Simplify right side
    233,044x = 249,324,456,976
  5. Step 5: Solve for x
    x = 249,324,456,976/233,044
  6. Step 6: Final answer
    x = 1,069,860.01

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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.