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Finding the Third Proportional to 347,926 and 537,602

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Solution

The third proportional to 347,926 and 537,602 is: 830,682.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,926 : 537,602 = 537,602 : x
  2. Step 2: Convert to fraction form
    347,926/537,602 = 537,602/x
  3. Step 3: Cross multiply
    347,926x = 537,602 × 537,602
  4. Step 4: Simplify right side
    347,926x = 289,015,910,404
  5. Step 5: Solve for x
    x = 289,015,910,404/347,926
  6. Step 6: Final answer
    x = 830,682.13

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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.