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Finding the Third Proportional to 304,886 and 459,577

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Solution

The third proportional to 304,886 and 459,577 is: 692,754.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,886 : 459,577 = 459,577 : x
  2. Step 2: Convert to fraction form
    304,886/459,577 = 459,577/x
  3. Step 3: Cross multiply
    304,886x = 459,577 × 459,577
  4. Step 4: Simplify right side
    304,886x = 211,211,018,929
  5. Step 5: Solve for x
    x = 211,211,018,929/304,886
  6. Step 6: Final answer
    x = 692,754.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.