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Finding the Third Proportional to 233,008 and 499,213

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Solution

The third proportional to 233,008 and 499,213 is: 1,069,549.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,008 : 499,213 = 499,213 : x
  2. Step 2: Convert to fraction form
    233,008/499,213 = 499,213/x
  3. Step 3: Cross multiply
    233,008x = 499,213 × 499,213
  4. Step 4: Simplify right side
    233,008x = 249,213,619,369
  5. Step 5: Solve for x
    x = 249,213,619,369/233,008
  6. Step 6: Final answer
    x = 1,069,549.63

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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.