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Finding the Third Proportional to 655,594.75 and 1,012,507.25

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Solution

The third proportional to 655,594.75 and 1,012,507.25 is: 1,563,726.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,594.75 : 1,012,507.25 = 1,012,507.25 : x
  2. Step 2: Convert to fraction form
    655,594.75/1,012,507.25 = 1,012,507.25/x
  3. Step 3: Cross multiply
    655,594.75x = 1,012,507.25 × 1,012,507.25
  4. Step 4: Simplify right side
    655,594.75x = 1,025,170,931,302.56
  5. Step 5: Solve for x
    x = 1,025,170,931,302.56/655,594.75
  6. Step 6: Final answer
    x = 1,563,726.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.