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Finding the Third Proportional to 346,344 and 520,532

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Solution

The third proportional to 346,344 and 520,532 is: 782,324.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,344 : 520,532 = 520,532 : x
  2. Step 2: Convert to fraction form
    346,344/520,532 = 520,532/x
  3. Step 3: Cross multiply
    346,344x = 520,532 × 520,532
  4. Step 4: Simplify right side
    346,344x = 270,953,563,024
  5. Step 5: Solve for x
    x = 270,953,563,024/346,344
  6. Step 6: Final answer
    x = 782,324.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.