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Finding the Third Proportional to 406,914.50 and 883,883

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Solution

The third proportional to 406,914.50 and 883,883 is: 1,919,934.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,914.50 : 883,883 = 883,883 : x
  2. Step 2: Convert to fraction form
    406,914.50/883,883 = 883,883/x
  3. Step 3: Cross multiply
    406,914.50x = 883,883 × 883,883
  4. Step 4: Simplify right side
    406,914.50x = 781,249,157,689
  5. Step 5: Solve for x
    x = 781,249,157,689/406,914.50
  6. Step 6: Final answer
    x = 1,919,934.43

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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.