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Finding the Third Proportional to 334,004 and 516,564

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Solution

The third proportional to 334,004 and 516,564 is: 798,907.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,004 : 516,564 = 516,564 : x
  2. Step 2: Convert to fraction form
    334,004/516,564 = 516,564/x
  3. Step 3: Cross multiply
    334,004x = 516,564 × 516,564
  4. Step 4: Simplify right side
    334,004x = 266,838,366,096
  5. Step 5: Solve for x
    x = 266,838,366,096/334,004
  6. Step 6: Final answer
    x = 798,907.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.