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Finding the Third Proportional to 526,455.75 and 847,828.13

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Solution

The third proportional to 526,455.75 and 847,828.13 is: 1,365,380.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,455.75 : 847,828.13 = 847,828.13 : x
  2. Step 2: Convert to fraction form
    526,455.75/847,828.13 = 847,828.13/x
  3. Step 3: Cross multiply
    526,455.75x = 847,828.13 × 847,828.13
  4. Step 4: Simplify right side
    526,455.75x = 718,812,529,541.02
  5. Step 5: Solve for x
    x = 718,812,529,541.02/526,455.75
  6. Step 6: Final answer
    x = 1,365,380.72

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.