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Finding the Third Proportional to 350,435 and 532,577.50

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Solution

The third proportional to 350,435 and 532,577.50 is: 809,390.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,435 : 532,577.50 = 532,577.50 : x
  2. Step 2: Convert to fraction form
    350,435/532,577.50 = 532,577.50/x
  3. Step 3: Cross multiply
    350,435x = 532,577.50 × 532,577.50
  4. Step 4: Simplify right side
    350,435x = 283,638,793,506.25
  5. Step 5: Solve for x
    x = 283,638,793,506.25/350,435
  6. Step 6: Final answer
    x = 809,390.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.