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Finding the Third Proportional to 463,117.50 and 988,443

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Solution

The third proportional to 463,117.50 and 988,443 is: 2,109,658.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,117.50 : 988,443 = 988,443 : x
  2. Step 2: Convert to fraction form
    463,117.50/988,443 = 988,443/x
  3. Step 3: Cross multiply
    463,117.50x = 988,443 × 988,443
  4. Step 4: Simplify right side
    463,117.50x = 977,019,564,249
  5. Step 5: Solve for x
    x = 977,019,564,249/463,117.50
  6. Step 6: Final answer
    x = 2,109,658.05

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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.