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Finding the Third Proportional to 463,815 and 661,486.50

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Solution

The third proportional to 463,815 and 661,486.50 is: 943,402.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,815 : 661,486.50 = 661,486.50 : x
  2. Step 2: Convert to fraction form
    463,815/661,486.50 = 661,486.50/x
  3. Step 3: Cross multiply
    463,815x = 661,486.50 × 661,486.50
  4. Step 4: Simplify right side
    463,815x = 437,564,389,682.25
  5. Step 5: Solve for x
    x = 437,564,389,682.25/463,815
  6. Step 6: Final answer
    x = 943,402.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.