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Finding the Third Proportional to 304,818 and 452,810

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Solution

The third proportional to 304,818 and 452,810 is: 672,653.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,818 : 452,810 = 452,810 : x
  2. Step 2: Convert to fraction form
    304,818/452,810 = 452,810/x
  3. Step 3: Cross multiply
    304,818x = 452,810 × 452,810
  4. Step 4: Simplify right side
    304,818x = 205,036,896,100
  5. Step 5: Solve for x
    x = 205,036,896,100/304,818
  6. Step 6: Final answer
    x = 672,653.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.