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Finding the Third Proportional to 722,133 and 1,117,579.50

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Solution

The third proportional to 722,133 and 1,117,579.50 is: 1,729,576.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,133 : 1,117,579.50 = 1,117,579.50 : x
  2. Step 2: Convert to fraction form
    722,133/1,117,579.50 = 1,117,579.50/x
  3. Step 3: Cross multiply
    722,133x = 1,117,579.50 × 1,117,579.50
  4. Step 4: Simplify right side
    722,133x = 1,248,983,938,820.25
  5. Step 5: Solve for x
    x = 1,248,983,938,820.25/722,133
  6. Step 6: Final answer
    x = 1,729,576.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.