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Finding the Third Proportional to 246,026.50 and 532,856

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Solution

The third proportional to 246,026.50 and 532,856 is: 1,154,085.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,026.50 : 532,856 = 532,856 : x
  2. Step 2: Convert to fraction form
    246,026.50/532,856 = 532,856/x
  3. Step 3: Cross multiply
    246,026.50x = 532,856 × 532,856
  4. Step 4: Simplify right side
    246,026.50x = 283,935,516,736
  5. Step 5: Solve for x
    x = 283,935,516,736/246,026.50
  6. Step 6: Final answer
    x = 1,154,085.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.