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Finding the Third Proportional to 297,000 and 459,567

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Solution

The third proportional to 297,000 and 459,567 is: 711,117.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,000 : 459,567 = 459,567 : x
  2. Step 2: Convert to fraction form
    297,000/459,567 = 459,567/x
  3. Step 3: Cross multiply
    297,000x = 459,567 × 459,567
  4. Step 4: Simplify right side
    297,000x = 211,201,827,489
  5. Step 5: Solve for x
    x = 211,201,827,489/297,000
  6. Step 6: Final answer
    x = 711,117.26

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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.