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Finding the Third Proportional to 406,423.50 and 893,294.50

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Solution

The third proportional to 406,423.50 and 893,294.50 is: 1,963,407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,423.50 : 893,294.50 = 893,294.50 : x
  2. Step 2: Convert to fraction form
    406,423.50/893,294.50 = 893,294.50/x
  3. Step 3: Cross multiply
    406,423.50x = 893,294.50 × 893,294.50
  4. Step 4: Simplify right side
    406,423.50x = 797,975,063,730.25
  5. Step 5: Solve for x
    x = 797,975,063,730.25/406,423.50
  6. Step 6: Final answer
    x = 1,963,407.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.