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Finding the Third Proportional to 584,145.75 and 1,255,548

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Solution

The third proportional to 584,145.75 and 1,255,548 is: 2,698,642.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,145.75 : 1,255,548 = 1,255,548 : x
  2. Step 2: Convert to fraction form
    584,145.75/1,255,548 = 1,255,548/x
  3. Step 3: Cross multiply
    584,145.75x = 1,255,548 × 1,255,548
  4. Step 4: Simplify right side
    584,145.75x = 1,576,400,780,304
  5. Step 5: Solve for x
    x = 1,576,400,780,304/584,145.75
  6. Step 6: Final answer
    x = 2,698,642.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.