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Finding the Third Proportional to 233,336 and 499,720

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Solution

The third proportional to 233,336 and 499,720 is: 1,070,216.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,336 : 499,720 = 499,720 : x
  2. Step 2: Convert to fraction form
    233,336/499,720 = 499,720/x
  3. Step 3: Cross multiply
    233,336x = 499,720 × 499,720
  4. Step 4: Simplify right side
    233,336x = 249,720,078,400
  5. Step 5: Solve for x
    x = 249,720,078,400/233,336
  6. Step 6: Final answer
    x = 1,070,216.68

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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.