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Finding the Third Proportional to 375,336 and 553,074

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Solution

The third proportional to 375,336 and 553,074 is: 814,978.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,336 : 553,074 = 553,074 : x
  2. Step 2: Convert to fraction form
    375,336/553,074 = 553,074/x
  3. Step 3: Cross multiply
    375,336x = 553,074 × 553,074
  4. Step 4: Simplify right side
    375,336x = 305,890,849,476
  5. Step 5: Solve for x
    x = 305,890,849,476/375,336
  6. Step 6: Final answer
    x = 814,978.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.