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Finding the Third Proportional to 228,580 and 499,464

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Solution

The third proportional to 228,580 and 499,464 is: 1,091,365.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,580 : 499,464 = 499,464 : x
  2. Step 2: Convert to fraction form
    228,580/499,464 = 499,464/x
  3. Step 3: Cross multiply
    228,580x = 499,464 × 499,464
  4. Step 4: Simplify right side
    228,580x = 249,464,287,296
  5. Step 5: Solve for x
    x = 249,464,287,296/228,580
  6. Step 6: Final answer
    x = 1,091,365.33

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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.