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Finding the Third Proportional to 576,437 and 920,867.25

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Solution

The third proportional to 576,437 and 920,867.25 is: 1,471,100.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,437 : 920,867.25 = 920,867.25 : x
  2. Step 2: Convert to fraction form
    576,437/920,867.25 = 920,867.25/x
  3. Step 3: Cross multiply
    576,437x = 920,867.25 × 920,867.25
  4. Step 4: Simplify right side
    576,437x = 847,996,492,122.56
  5. Step 5: Solve for x
    x = 847,996,492,122.56/576,437
  6. Step 6: Final answer
    x = 1,471,100.04

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Why These Related Problems?

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