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Finding the Third Proportional to 569,855.25 and 879,454.69

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Solution

The third proportional to 569,855.25 and 879,454.69 is: 1,357,257.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,855.25 : 879,454.69 = 879,454.69 : x
  2. Step 2: Convert to fraction form
    569,855.25/879,454.69 = 879,454.69/x
  3. Step 3: Cross multiply
    569,855.25x = 879,454.69 × 879,454.69
  4. Step 4: Simplify right side
    569,855.25x = 773,440,547,365.72
  5. Step 5: Solve for x
    x = 773,440,547,365.72/569,855.25
  6. Step 6: Final answer
    x = 1,357,257.91

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.