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Finding the Third Proportional to 340,461 and 494,709

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Solution

The third proportional to 340,461 and 494,709 is: 718,840.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,461 : 494,709 = 494,709 : x
  2. Step 2: Convert to fraction form
    340,461/494,709 = 494,709/x
  3. Step 3: Cross multiply
    340,461x = 494,709 × 494,709
  4. Step 4: Simplify right side
    340,461x = 244,736,994,681
  5. Step 5: Solve for x
    x = 244,736,994,681/340,461
  6. Step 6: Final answer
    x = 718,840.03

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.