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Finding the Third Proportional to 505,551 and 759,622.50

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Solution

The third proportional to 505,551 and 759,622.50 is: 1,141,381.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,551 : 759,622.50 = 759,622.50 : x
  2. Step 2: Convert to fraction form
    505,551/759,622.50 = 759,622.50/x
  3. Step 3: Cross multiply
    505,551x = 759,622.50 × 759,622.50
  4. Step 4: Simplify right side
    505,551x = 577,026,342,506.25
  5. Step 5: Solve for x
    x = 577,026,342,506.25/505,551
  6. Step 6: Final answer
    x = 1,141,381.07

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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.