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Finding the Third Proportional to 435,655.50 and 943,686.50

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Solution

The third proportional to 435,655.50 and 943,686.50 is: 2,044,147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,655.50 : 943,686.50 = 943,686.50 : x
  2. Step 2: Convert to fraction form
    435,655.50/943,686.50 = 943,686.50/x
  3. Step 3: Cross multiply
    435,655.50x = 943,686.50 × 943,686.50
  4. Step 4: Simplify right side
    435,655.50x = 890,544,210,282.25
  5. Step 5: Solve for x
    x = 890,544,210,282.25/435,655.50
  6. Step 6: Final answer
    x = 2,044,147.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.