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Finding the Third Proportional to 246,009.38 and 532,822.50

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Solution

The third proportional to 246,009.38 and 532,822.50 is: 1,154,020.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,009.38 : 532,822.50 = 532,822.50 : x
  2. Step 2: Convert to fraction form
    246,009.38/532,822.50 = 532,822.50/x
  3. Step 3: Cross multiply
    246,009.38x = 532,822.50 × 532,822.50
  4. Step 4: Simplify right side
    246,009.38x = 283,899,816,506.25
  5. Step 5: Solve for x
    x = 283,899,816,506.25/246,009.38
  6. Step 6: Final answer
    x = 1,154,020.32

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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.