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Finding the Third Proportional to 346,235.50 and 517,969

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Solution

The third proportional to 346,235.50 and 517,969 is: 774,882.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,235.50 : 517,969 = 517,969 : x
  2. Step 2: Convert to fraction form
    346,235.50/517,969 = 517,969/x
  3. Step 3: Cross multiply
    346,235.50x = 517,969 × 517,969
  4. Step 4: Simplify right side
    346,235.50x = 268,291,884,961
  5. Step 5: Solve for x
    x = 268,291,884,961/346,235.50
  6. Step 6: Final answer
    x = 774,882.66

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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.