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Finding the Third Proportional to 463,776 and 661,643

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Solution

The third proportional to 463,776 and 661,643 is: 943,928.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,776 : 661,643 = 661,643 : x
  2. Step 2: Convert to fraction form
    463,776/661,643 = 661,643/x
  3. Step 3: Cross multiply
    463,776x = 661,643 × 661,643
  4. Step 4: Simplify right side
    463,776x = 437,771,459,449
  5. Step 5: Solve for x
    x = 437,771,459,449/463,776
  6. Step 6: Final answer
    x = 943,928.66

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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.