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Finding the Third Proportional to 346,356 and 520,550

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Solution

The third proportional to 346,356 and 520,550 is: 782,351.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,356 : 520,550 = 520,550 : x
  2. Step 2: Convert to fraction form
    346,356/520,550 = 520,550/x
  3. Step 3: Cross multiply
    346,356x = 520,550 × 520,550
  4. Step 4: Simplify right side
    346,356x = 270,972,302,500
  5. Step 5: Solve for x
    x = 270,972,302,500/346,356
  6. Step 6: Final answer
    x = 782,351.98

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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.