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Finding the Third Proportional to 604,931.50 and 928,546.25

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Solution

The third proportional to 604,931.50 and 928,546.25 is: 1,425,282.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,931.50 : 928,546.25 = 928,546.25 : x
  2. Step 2: Convert to fraction form
    604,931.50/928,546.25 = 928,546.25/x
  3. Step 3: Cross multiply
    604,931.50x = 928,546.25 × 928,546.25
  4. Step 4: Simplify right side
    604,931.50x = 862,198,138,389.06
  5. Step 5: Solve for x
    x = 862,198,138,389.06/604,931.50
  6. Step 6: Final answer
    x = 1,425,282.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.