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Finding the Third Proportional to 211,460.63 and 455,929.88

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Solution

The third proportional to 211,460.63 and 455,929.88 is: 983,029.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,460.63 : 455,929.88 = 455,929.88 : x
  2. Step 2: Convert to fraction form
    211,460.63/455,929.88 = 455,929.88/x
  3. Step 3: Cross multiply
    211,460.63x = 455,929.88 × 455,929.88
  4. Step 4: Simplify right side
    211,460.63x = 207,872,050,917.52
  5. Step 5: Solve for x
    x = 207,872,050,917.52/211,460.63
  6. Step 6: Final answer
    x = 983,029.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.