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Finding the Third Proportional to 647,528 and 971,287

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Solution

The third proportional to 647,528 and 971,287 is: 1,456,923.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,528 : 971,287 = 971,287 : x
  2. Step 2: Convert to fraction form
    647,528/971,287 = 971,287/x
  3. Step 3: Cross multiply
    647,528x = 971,287 × 971,287
  4. Step 4: Simplify right side
    647,528x = 943,398,436,369
  5. Step 5: Solve for x
    x = 943,398,436,369/647,528
  6. Step 6: Final answer
    x = 1,456,923.00

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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.