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Finding the Third Proportional to 463,713.50 and 977,242

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Solution

The third proportional to 463,713.50 and 977,242 is: 2,059,465.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,713.50 : 977,242 = 977,242 : x
  2. Step 2: Convert to fraction form
    463,713.50/977,242 = 977,242/x
  3. Step 3: Cross multiply
    463,713.50x = 977,242 × 977,242
  4. Step 4: Simplify right side
    463,713.50x = 955,001,926,564
  5. Step 5: Solve for x
    x = 955,001,926,564/463,713.50
  6. Step 6: Final answer
    x = 2,059,465.44

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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.