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Finding the Third Proportional to 718,580.25 and 1,564,735.50

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Solution

The third proportional to 718,580.25 and 1,564,735.50 is: 3,407,270.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,580.25 : 1,564,735.50 = 1,564,735.50 : x
  2. Step 2: Convert to fraction form
    718,580.25/1,564,735.50 = 1,564,735.50/x
  3. Step 3: Cross multiply
    718,580.25x = 1,564,735.50 × 1,564,735.50
  4. Step 4: Simplify right side
    718,580.25x = 2,448,397,184,960.25
  5. Step 5: Solve for x
    x = 2,448,397,184,960.25/718,580.25
  6. Step 6: Final answer
    x = 3,407,270.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.