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Finding the Third Proportional to 350,730 and 753,583.50

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Solution

The third proportional to 350,730 and 753,583.50 is: 1,619,160.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,730 : 753,583.50 = 753,583.50 : x
  2. Step 2: Convert to fraction form
    350,730/753,583.50 = 753,583.50/x
  3. Step 3: Cross multiply
    350,730x = 753,583.50 × 753,583.50
  4. Step 4: Simplify right side
    350,730x = 567,888,091,472.25
  5. Step 5: Solve for x
    x = 567,888,091,472.25/350,730
  6. Step 6: Final answer
    x = 1,619,160.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.