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Finding the Third Proportional to 546,080 and 826,752

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Solution

The third proportional to 546,080 and 826,752 is: 1,251,682.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,080 : 826,752 = 826,752 : x
  2. Step 2: Convert to fraction form
    546,080/826,752 = 826,752/x
  3. Step 3: Cross multiply
    546,080x = 826,752 × 826,752
  4. Step 4: Simplify right side
    546,080x = 683,518,869,504
  5. Step 5: Solve for x
    x = 683,518,869,504/546,080
  6. Step 6: Final answer
    x = 1,251,682.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.