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Finding the Third Proportional to 469,071 and 727,264.50

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Solution

The third proportional to 469,071 and 727,264.50 is: 1,127,576.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,071 : 727,264.50 = 727,264.50 : x
  2. Step 2: Convert to fraction form
    469,071/727,264.50 = 727,264.50/x
  3. Step 3: Cross multiply
    469,071x = 727,264.50 × 727,264.50
  4. Step 4: Simplify right side
    469,071x = 528,913,652,960.25
  5. Step 5: Solve for x
    x = 528,913,652,960.25/469,071
  6. Step 6: Final answer
    x = 1,127,576.96

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.