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Finding the Third Proportional to 346,989 and 505,714.50

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Solution

The third proportional to 346,989 and 505,714.50 is: 737,046.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,989 : 505,714.50 = 505,714.50 : x
  2. Step 2: Convert to fraction form
    346,989/505,714.50 = 505,714.50/x
  3. Step 3: Cross multiply
    346,989x = 505,714.50 × 505,714.50
  4. Step 4: Simplify right side
    346,989x = 255,747,155,510.25
  5. Step 5: Solve for x
    x = 255,747,155,510.25/346,989
  6. Step 6: Final answer
    x = 737,046.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.