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Finding the Third Proportional to 214,985 and 502,023.50

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Solution

The third proportional to 214,985 and 502,023.50 is: 1,172,303.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,985 : 502,023.50 = 502,023.50 : x
  2. Step 2: Convert to fraction form
    214,985/502,023.50 = 502,023.50/x
  3. Step 3: Cross multiply
    214,985x = 502,023.50 × 502,023.50
  4. Step 4: Simplify right side
    214,985x = 252,027,594,552.25
  5. Step 5: Solve for x
    x = 252,027,594,552.25/214,985
  6. Step 6: Final answer
    x = 1,172,303.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.