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Finding the Third Proportional to 647,576 and 971,365

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Solution

The third proportional to 647,576 and 971,365 is: 1,457,049.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,576 : 971,365 = 971,365 : x
  2. Step 2: Convert to fraction form
    647,576/971,365 = 971,365/x
  3. Step 3: Cross multiply
    647,576x = 971,365 × 971,365
  4. Step 4: Simplify right side
    647,576x = 943,549,963,225
  5. Step 5: Solve for x
    x = 943,549,963,225/647,576
  6. Step 6: Final answer
    x = 1,457,049.00

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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.