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Finding the Third Proportional to 603,071 and 932,946

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Solution

The third proportional to 603,071 and 932,946 is: 1,443,259.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,071 : 932,946 = 932,946 : x
  2. Step 2: Convert to fraction form
    603,071/932,946 = 932,946/x
  3. Step 3: Cross multiply
    603,071x = 932,946 × 932,946
  4. Step 4: Simplify right side
    603,071x = 870,388,238,916
  5. Step 5: Solve for x
    x = 870,388,238,916/603,071
  6. Step 6: Final answer
    x = 1,443,259.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.