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Finding the Third Proportional to 348,914 and 537,051

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Solution

The third proportional to 348,914 and 537,051 is: 826,632.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,914 : 537,051 = 537,051 : x
  2. Step 2: Convert to fraction form
    348,914/537,051 = 537,051/x
  3. Step 3: Cross multiply
    348,914x = 537,051 × 537,051
  4. Step 4: Simplify right side
    348,914x = 288,423,776,601
  5. Step 5: Solve for x
    x = 288,423,776,601/348,914
  6. Step 6: Final answer
    x = 826,632.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.