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Finding the Third Proportional to 597,969 and 873,931.50

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Solution

The third proportional to 597,969 and 873,931.50 is: 1,277,250.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,969 : 873,931.50 = 873,931.50 : x
  2. Step 2: Convert to fraction form
    597,969/873,931.50 = 873,931.50/x
  3. Step 3: Cross multiply
    597,969x = 873,931.50 × 873,931.50
  4. Step 4: Simplify right side
    597,969x = 763,756,266,692.25
  5. Step 5: Solve for x
    x = 763,756,266,692.25/597,969
  6. Step 6: Final answer
    x = 1,277,250.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.