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Finding the Third Proportional to 369,931 and 554,946

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Solution

The third proportional to 369,931 and 554,946 is: 832,493.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,931 : 554,946 = 554,946 : x
  2. Step 2: Convert to fraction form
    369,931/554,946 = 554,946/x
  3. Step 3: Cross multiply
    369,931x = 554,946 × 554,946
  4. Step 4: Simplify right side
    369,931x = 307,965,062,916
  5. Step 5: Solve for x
    x = 307,965,062,916/369,931
  6. Step 6: Final answer
    x = 832,493.26

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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.