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Finding the Third Proportional to 504,326 and 780,915

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Solution

The third proportional to 504,326 and 780,915 is: 1,209,194.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,326 : 780,915 = 780,915 : x
  2. Step 2: Convert to fraction form
    504,326/780,915 = 780,915/x
  3. Step 3: Cross multiply
    504,326x = 780,915 × 780,915
  4. Step 4: Simplify right side
    504,326x = 609,828,237,225
  5. Step 5: Solve for x
    x = 609,828,237,225/504,326
  6. Step 6: Final answer
    x = 1,209,194.52

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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.