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Finding the Third Proportional to 576,440 and 920,871.50

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Solution

The third proportional to 576,440 and 920,871.50 is: 1,471,105.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,440 : 920,871.50 = 920,871.50 : x
  2. Step 2: Convert to fraction form
    576,440/920,871.50 = 920,871.50/x
  3. Step 3: Cross multiply
    576,440x = 920,871.50 × 920,871.50
  4. Step 4: Simplify right side
    576,440x = 848,004,319,512.25
  5. Step 5: Solve for x
    x = 848,004,319,512.25/576,440
  6. Step 6: Final answer
    x = 1,471,105.96

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.