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Finding the Third Proportional to 604,937 and 928,555

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Solution

The third proportional to 604,937 and 928,555 is: 1,425,296.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,937 : 928,555 = 928,555 : x
  2. Step 2: Convert to fraction form
    604,937/928,555 = 928,555/x
  3. Step 3: Cross multiply
    604,937x = 928,555 × 928,555
  4. Step 4: Simplify right side
    604,937x = 862,214,388,025
  5. Step 5: Solve for x
    x = 862,214,388,025/604,937
  6. Step 6: Final answer
    x = 1,425,296.17

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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.