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Finding the Third Proportional to 370,017 and 799,042.50

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Solution

The third proportional to 370,017 and 799,042.50 is: 1,725,512.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,017 : 799,042.50 = 799,042.50 : x
  2. Step 2: Convert to fraction form
    370,017/799,042.50 = 799,042.50/x
  3. Step 3: Cross multiply
    370,017x = 799,042.50 × 799,042.50
  4. Step 4: Simplify right side
    370,017x = 638,468,916,806.25
  5. Step 5: Solve for x
    x = 638,468,916,806.25/370,017
  6. Step 6: Final answer
    x = 1,725,512.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.