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Finding the Third Proportional to 369,725.25 and 795,492.38

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Solution

The third proportional to 369,725.25 and 795,492.38 is: 1,711,563.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,725.25 : 795,492.38 = 795,492.38 : x
  2. Step 2: Convert to fraction form
    369,725.25/795,492.38 = 795,492.38/x
  3. Step 3: Cross multiply
    369,725.25x = 795,492.38 × 795,492.38
  4. Step 4: Simplify right side
    369,725.25x = 632,808,118,683.14
  5. Step 5: Solve for x
    x = 632,808,118,683.14/369,725.25
  6. Step 6: Final answer
    x = 1,711,563.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.