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Finding the Third Proportional to 241,569 and 514,323

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Solution

The third proportional to 241,569 and 514,323 is: 1,095,041.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,569 : 514,323 = 514,323 : x
  2. Step 2: Convert to fraction form
    241,569/514,323 = 514,323/x
  3. Step 3: Cross multiply
    241,569x = 514,323 × 514,323
  4. Step 4: Simplify right side
    241,569x = 264,528,148,329
  5. Step 5: Solve for x
    x = 264,528,148,329/241,569
  6. Step 6: Final answer
    x = 1,095,041.78

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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.