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Finding the Third Proportional to 387,376 and 841,252

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Solution

The third proportional to 387,376 and 841,252 is: 1,826,919.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,376 : 841,252 = 841,252 : x
  2. Step 2: Convert to fraction form
    387,376/841,252 = 841,252/x
  3. Step 3: Cross multiply
    387,376x = 841,252 × 841,252
  4. Step 4: Simplify right side
    387,376x = 707,704,927,504
  5. Step 5: Solve for x
    x = 707,704,927,504/387,376
  6. Step 6: Final answer
    x = 1,826,919.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.