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Finding the Third Proportional to 242,685 and 532,026

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Solution

The third proportional to 242,685 and 532,026 is: 1,166,333.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,685 : 532,026 = 532,026 : x
  2. Step 2: Convert to fraction form
    242,685/532,026 = 532,026/x
  3. Step 3: Cross multiply
    242,685x = 532,026 × 532,026
  4. Step 4: Simplify right side
    242,685x = 283,051,664,676
  5. Step 5: Solve for x
    x = 283,051,664,676/242,685
  6. Step 6: Final answer
    x = 1,166,333.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.