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Finding the Third Proportional to 241,376 and 514,804

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Solution

The third proportional to 241,376 and 514,804 is: 1,097,968.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,376 : 514,804 = 514,804 : x
  2. Step 2: Convert to fraction form
    241,376/514,804 = 514,804/x
  3. Step 3: Cross multiply
    241,376x = 514,804 × 514,804
  4. Step 4: Simplify right side
    241,376x = 265,023,158,416
  5. Step 5: Solve for x
    x = 265,023,158,416/241,376
  6. Step 6: Final answer
    x = 1,097,968.14

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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.