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Finding the Third Proportional to 320,886 and 499,077

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Solution

The third proportional to 320,886 and 499,077 is: 776,219.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,886 : 499,077 = 499,077 : x
  2. Step 2: Convert to fraction form
    320,886/499,077 = 499,077/x
  3. Step 3: Cross multiply
    320,886x = 499,077 × 499,077
  4. Step 4: Simplify right side
    320,886x = 249,077,851,929
  5. Step 5: Solve for x
    x = 249,077,851,929/320,886
  6. Step 6: Final answer
    x = 776,219.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.