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Finding the Third Proportional to 476,080 and 652,818

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Solution

The third proportional to 476,080 and 652,818 is: 895,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,080 : 652,818 = 652,818 : x
  2. Step 2: Convert to fraction form
    476,080/652,818 = 652,818/x
  3. Step 3: Cross multiply
    476,080x = 652,818 × 652,818
  4. Step 4: Simplify right side
    476,080x = 426,171,341,124
  5. Step 5: Solve for x
    x = 426,171,341,124/476,080
  6. Step 6: Final answer
    x = 895,167.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.