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Finding the Third Proportional to 304,818 and 651,669

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Solution

The third proportional to 304,818 and 651,669 is: 1,393,200.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,818 : 651,669 = 651,669 : x
  2. Step 2: Convert to fraction form
    304,818/651,669 = 651,669/x
  3. Step 3: Cross multiply
    304,818x = 651,669 × 651,669
  4. Step 4: Simplify right side
    304,818x = 424,672,485,561
  5. Step 5: Solve for x
    x = 424,672,485,561/304,818
  6. Step 6: Final answer
    x = 1,393,200.16

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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.