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Finding the Third Proportional to 299,911.50 and 633,537

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Solution

The third proportional to 299,911.50 and 633,537 is: 1,338,291.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,911.50 : 633,537 = 633,537 : x
  2. Step 2: Convert to fraction form
    299,911.50/633,537 = 633,537/x
  3. Step 3: Cross multiply
    299,911.50x = 633,537 × 633,537
  4. Step 4: Simplify right side
    299,911.50x = 401,369,130,369
  5. Step 5: Solve for x
    x = 401,369,130,369/299,911.50
  6. Step 6: Final answer
    x = 1,338,291.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.