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Finding the Third Proportional to 647,560 and 971,341

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Solution

The third proportional to 647,560 and 971,341 is: 1,457,013.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,560 : 971,341 = 971,341 : x
  2. Step 2: Convert to fraction form
    647,560/971,341 = 971,341/x
  3. Step 3: Cross multiply
    647,560x = 971,341 × 971,341
  4. Step 4: Simplify right side
    647,560x = 943,503,338,281
  5. Step 5: Solve for x
    x = 943,503,338,281/647,560
  6. Step 6: Final answer
    x = 1,457,013.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.