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Finding the Third Proportional to 406,225.50 and 567,909.75

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Solution

The third proportional to 406,225.50 and 567,909.75 is: 793,946.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,225.50 : 567,909.75 = 567,909.75 : x
  2. Step 2: Convert to fraction form
    406,225.50/567,909.75 = 567,909.75/x
  3. Step 3: Cross multiply
    406,225.50x = 567,909.75 × 567,909.75
  4. Step 4: Simplify right side
    406,225.50x = 322,521,484,145.06
  5. Step 5: Solve for x
    x = 322,521,484,145.06/406,225.50
  6. Step 6: Final answer
    x = 793,946.92

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.