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Finding the Third Proportional to 576,418.50 and 920,841.75

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Solution

The third proportional to 576,418.50 and 920,841.75 is: 1,471,065.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,418.50 : 920,841.75 = 920,841.75 : x
  2. Step 2: Convert to fraction form
    576,418.50/920,841.75 = 920,841.75/x
  3. Step 3: Cross multiply
    576,418.50x = 920,841.75 × 920,841.75
  4. Step 4: Simplify right side
    576,418.50x = 847,949,528,543.06
  5. Step 5: Solve for x
    x = 847,949,528,543.06/576,418.50
  6. Step 6: Final answer
    x = 1,471,065.78

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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.