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Finding the Third Proportional to 299,686.50 and 637,513.50

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Solution

The third proportional to 299,686.50 and 637,513.50 is: 1,356,162.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,686.50 : 637,513.50 = 637,513.50 : x
  2. Step 2: Convert to fraction form
    299,686.50/637,513.50 = 637,513.50/x
  3. Step 3: Cross multiply
    299,686.50x = 637,513.50 × 637,513.50
  4. Step 4: Simplify right side
    299,686.50x = 406,423,462,682.25
  5. Step 5: Solve for x
    x = 406,423,462,682.25/299,686.50
  6. Step 6: Final answer
    x = 1,356,162.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.