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Finding the Third Proportional to 346,978 and 520,471.50

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Solution

The third proportional to 346,978 and 520,471.50 is: 780,714.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,978 : 520,471.50 = 520,471.50 : x
  2. Step 2: Convert to fraction form
    346,978/520,471.50 = 520,471.50/x
  3. Step 3: Cross multiply
    346,978x = 520,471.50 × 520,471.50
  4. Step 4: Simplify right side
    346,978x = 270,890,582,312.25
  5. Step 5: Solve for x
    x = 270,890,582,312.25/346,978
  6. Step 6: Final answer
    x = 780,714.00

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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.