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Finding the Third Proportional to 346,352 and 520,544

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Solution

The third proportional to 346,352 and 520,544 is: 782,342.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,352 : 520,544 = 520,544 : x
  2. Step 2: Convert to fraction form
    346,352/520,544 = 520,544/x
  3. Step 3: Cross multiply
    346,352x = 520,544 × 520,544
  4. Step 4: Simplify right side
    346,352x = 270,966,055,936
  5. Step 5: Solve for x
    x = 270,966,055,936/346,352
  6. Step 6: Final answer
    x = 782,342.98

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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.