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Finding the Third Proportional to 241,490 and 527,854

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Solution

The third proportional to 241,490 and 527,854 is: 1,153,794.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,490 : 527,854 = 527,854 : x
  2. Step 2: Convert to fraction form
    241,490/527,854 = 527,854/x
  3. Step 3: Cross multiply
    241,490x = 527,854 × 527,854
  4. Step 4: Simplify right side
    241,490x = 278,629,845,316
  5. Step 5: Solve for x
    x = 278,629,845,316/241,490
  6. Step 6: Final answer
    x = 1,153,794.55

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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.