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Finding the Third Proportional to 347,557.50 and 537,296.63

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Solution

The third proportional to 347,557.50 and 537,296.63 is: 830,618.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,557.50 : 537,296.63 = 537,296.63 : x
  2. Step 2: Convert to fraction form
    347,557.50/537,296.63 = 537,296.63/x
  3. Step 3: Cross multiply
    347,557.50x = 537,296.63 × 537,296.63
  4. Step 4: Simplify right side
    347,557.50x = 288,687,663,236.39
  5. Step 5: Solve for x
    x = 288,687,663,236.39/347,557.50
  6. Step 6: Final answer
    x = 830,618.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.