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Finding the Third Proportional to 362,895 and 727,248

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Solution

The third proportional to 362,895 and 727,248 is: 1,457,417.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,895 : 727,248 = 727,248 : x
  2. Step 2: Convert to fraction form
    362,895/727,248 = 727,248/x
  3. Step 3: Cross multiply
    362,895x = 727,248 × 727,248
  4. Step 4: Simplify right side
    362,895x = 528,889,653,504
  5. Step 5: Solve for x
    x = 528,889,653,504/362,895
  6. Step 6: Final answer
    x = 1,457,417.86

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.