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Finding the Third Proportional to 469,420 and 706,376

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Solution

The third proportional to 469,420 and 706,376 is: 1,062,943.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,420 : 706,376 = 706,376 : x
  2. Step 2: Convert to fraction form
    469,420/706,376 = 706,376/x
  3. Step 3: Cross multiply
    469,420x = 706,376 × 706,376
  4. Step 4: Simplify right side
    469,420x = 498,967,053,376
  5. Step 5: Solve for x
    x = 498,967,053,376/469,420
  6. Step 6: Final answer
    x = 1,062,943.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.