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Finding the Third Proportional to 340,456 and 740,582

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Solution

The third proportional to 340,456 and 740,582 is: 1,610,962.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,456 : 740,582 = 740,582 : x
  2. Step 2: Convert to fraction form
    340,456/740,582 = 740,582/x
  3. Step 3: Cross multiply
    340,456x = 740,582 × 740,582
  4. Step 4: Simplify right side
    340,456x = 548,461,698,724
  5. Step 5: Solve for x
    x = 548,461,698,724/340,456
  6. Step 6: Final answer
    x = 1,610,962.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.