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Finding the Third Proportional to 369,929 and 554,943

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Solution

The third proportional to 369,929 and 554,943 is: 832,488.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,929 : 554,943 = 554,943 : x
  2. Step 2: Convert to fraction form
    369,929/554,943 = 554,943/x
  3. Step 3: Cross multiply
    369,929x = 554,943 × 554,943
  4. Step 4: Simplify right side
    369,929x = 307,961,733,249
  5. Step 5: Solve for x
    x = 307,961,733,249/369,929
  6. Step 6: Final answer
    x = 832,488.76

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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.