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Finding the Third Proportional to 362,572.14 and 754,916.52

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Solution

The third proportional to 362,572.14 and 754,916.52 is: 1,571,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,572.14 : 754,916.52 = 754,916.52 : x
  2. Step 2: Convert to fraction form
    362,572.14/754,916.52 = 754,916.52/x
  3. Step 3: Cross multiply
    362,572.14x = 754,916.52 × 754,916.52
  4. Step 4: Simplify right side
    362,572.14x = 569,898,951,461.18
  5. Step 5: Solve for x
    x = 569,898,951,461.18/362,572.14
  6. Step 6: Final answer
    x = 1,571,822.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.