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Finding the Third Proportional to 479,818 and 717,084

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Solution

The third proportional to 479,818 and 717,084 is: 1,071,676.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,818 : 717,084 = 717,084 : x
  2. Step 2: Convert to fraction form
    479,818/717,084 = 717,084/x
  3. Step 3: Cross multiply
    479,818x = 717,084 × 717,084
  4. Step 4: Simplify right side
    479,818x = 514,209,463,056
  5. Step 5: Solve for x
    x = 514,209,463,056/479,818
  6. Step 6: Final answer
    x = 1,071,676.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.