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Finding the Third Proportional to 347,524 and 537,248

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Solution

The third proportional to 347,524 and 537,248 is: 830,548.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,524 : 537,248 = 537,248 : x
  2. Step 2: Convert to fraction form
    347,524/537,248 = 537,248/x
  3. Step 3: Cross multiply
    347,524x = 537,248 × 537,248
  4. Step 4: Simplify right side
    347,524x = 288,635,413,504
  5. Step 5: Solve for x
    x = 288,635,413,504/347,524
  6. Step 6: Final answer
    x = 830,548.14

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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.