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Finding the Third Proportional to 354,324 and 538,046

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Solution

The third proportional to 354,324 and 538,046 is: 817,030.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,324 : 538,046 = 538,046 : x
  2. Step 2: Convert to fraction form
    354,324/538,046 = 538,046/x
  3. Step 3: Cross multiply
    354,324x = 538,046 × 538,046
  4. Step 4: Simplify right side
    354,324x = 289,493,498,116
  5. Step 5: Solve for x
    x = 289,493,498,116/354,324
  6. Step 6: Final answer
    x = 817,030.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.