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Finding the Third Proportional to 243,037.13 and 524,846.25

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Solution

The third proportional to 243,037.13 and 524,846.25 is: 1,133,421.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,037.13 : 524,846.25 = 524,846.25 : x
  2. Step 2: Convert to fraction form
    243,037.13/524,846.25 = 524,846.25/x
  3. Step 3: Cross multiply
    243,037.13x = 524,846.25 × 524,846.25
  4. Step 4: Simplify right side
    243,037.13x = 275,463,586,139.06
  5. Step 5: Solve for x
    x = 275,463,586,139.06/243,037.13
  6. Step 6: Final answer
    x = 1,133,421.84

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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.