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Finding the Third Proportional to 384,964 and 592,476

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Solution

The third proportional to 384,964 and 592,476 is: 911,845.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,964 : 592,476 = 592,476 : x
  2. Step 2: Convert to fraction form
    384,964/592,476 = 592,476/x
  3. Step 3: Cross multiply
    384,964x = 592,476 × 592,476
  4. Step 4: Simplify right side
    384,964x = 351,027,810,576
  5. Step 5: Solve for x
    x = 351,027,810,576/384,964
  6. Step 6: Final answer
    x = 911,845.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.