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Finding the Third Proportional to 524,461.50 and 1,159,164

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Solution

The third proportional to 524,461.50 and 1,159,164 is: 2,561,982.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,461.50 : 1,159,164 = 1,159,164 : x
  2. Step 2: Convert to fraction form
    524,461.50/1,159,164 = 1,159,164/x
  3. Step 3: Cross multiply
    524,461.50x = 1,159,164 × 1,159,164
  4. Step 4: Simplify right side
    524,461.50x = 1,343,661,178,896
  5. Step 5: Solve for x
    x = 1,343,661,178,896/524,461.50
  6. Step 6: Final answer
    x = 2,561,982.49

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.