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Finding the Third Proportional to 232,284 and 502,584

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Solution

The third proportional to 232,284 and 502,584 is: 1,087,421.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,284 : 502,584 = 502,584 : x
  2. Step 2: Convert to fraction form
    232,284/502,584 = 502,584/x
  3. Step 3: Cross multiply
    232,284x = 502,584 × 502,584
  4. Step 4: Simplify right side
    232,284x = 252,590,677,056
  5. Step 5: Solve for x
    x = 252,590,677,056/232,284
  6. Step 6: Final answer
    x = 1,087,421.76

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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.