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Finding the Third Proportional to 242,352 and 515,808

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Solution

The third proportional to 242,352 and 515,808 is: 1,097,815.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,352 : 515,808 = 515,808 : x
  2. Step 2: Convert to fraction form
    242,352/515,808 = 515,808/x
  3. Step 3: Cross multiply
    242,352x = 515,808 × 515,808
  4. Step 4: Simplify right side
    242,352x = 266,057,892,864
  5. Step 5: Solve for x
    x = 266,057,892,864/242,352
  6. Step 6: Final answer
    x = 1,097,815.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.