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Finding the Third Proportional to 242,681 and 532,018

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Solution

The third proportional to 242,681 and 532,018 is: 1,166,317.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,681 : 532,018 = 532,018 : x
  2. Step 2: Convert to fraction form
    242,681/532,018 = 532,018/x
  3. Step 3: Cross multiply
    242,681x = 532,018 × 532,018
  4. Step 4: Simplify right side
    242,681x = 283,043,152,324
  5. Step 5: Solve for x
    x = 283,043,152,324/242,681
  6. Step 6: Final answer
    x = 1,166,317.73

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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.