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Finding the Third Proportional to 715,476 and 971,562

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Solution

The third proportional to 715,476 and 971,562 is: 1,319,307.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,476 : 971,562 = 971,562 : x
  2. Step 2: Convert to fraction form
    715,476/971,562 = 971,562/x
  3. Step 3: Cross multiply
    715,476x = 971,562 × 971,562
  4. Step 4: Simplify right side
    715,476x = 943,932,719,844
  5. Step 5: Solve for x
    x = 943,932,719,844/715,476
  6. Step 6: Final answer
    x = 1,319,307.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.