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Finding the Third Proportional to 345,732.75 and 466,069.50

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Solution

The third proportional to 345,732.75 and 466,069.50 is: 628,291.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,732.75 : 466,069.50 = 466,069.50 : x
  2. Step 2: Convert to fraction form
    345,732.75/466,069.50 = 466,069.50/x
  3. Step 3: Cross multiply
    345,732.75x = 466,069.50 × 466,069.50
  4. Step 4: Simplify right side
    345,732.75x = 217,220,778,830.25
  5. Step 5: Solve for x
    x = 217,220,778,830.25/345,732.75
  6. Step 6: Final answer
    x = 628,291.01

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.