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Finding the Third Proportional to 341,973 and 586,768.50

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Solution

The third proportional to 341,973 and 586,768.50 is: 1,006,796.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,973 : 586,768.50 = 586,768.50 : x
  2. Step 2: Convert to fraction form
    341,973/586,768.50 = 586,768.50/x
  3. Step 3: Cross multiply
    341,973x = 586,768.50 × 586,768.50
  4. Step 4: Simplify right side
    341,973x = 344,297,272,592.25
  5. Step 5: Solve for x
    x = 344,297,272,592.25/341,973
  6. Step 6: Final answer
    x = 1,006,796.66

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.