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Finding the Third Proportional to 427,962 and 662,304

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Solution

The third proportional to 427,962 and 662,304 is: 1,024,966.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,962 : 662,304 = 662,304 : x
  2. Step 2: Convert to fraction form
    427,962/662,304 = 662,304/x
  3. Step 3: Cross multiply
    427,962x = 662,304 × 662,304
  4. Step 4: Simplify right side
    427,962x = 438,646,588,416
  5. Step 5: Solve for x
    x = 438,646,588,416/427,962
  6. Step 6: Final answer
    x = 1,024,966.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.