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Finding the Third Proportional to 242,724 and 532,104

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Solution

The third proportional to 242,724 and 532,104 is: 1,166,488.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,724 : 532,104 = 532,104 : x
  2. Step 2: Convert to fraction form
    242,724/532,104 = 532,104/x
  3. Step 3: Cross multiply
    242,724x = 532,104 × 532,104
  4. Step 4: Simplify right side
    242,724x = 283,134,666,816
  5. Step 5: Solve for x
    x = 283,134,666,816/242,724
  6. Step 6: Final answer
    x = 1,166,488.14

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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.