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Finding the Third Proportional to 286,422.75 and 596,376

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Solution

The third proportional to 286,422.75 and 596,376 is: 1,241,746.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,422.75 : 596,376 = 596,376 : x
  2. Step 2: Convert to fraction form
    286,422.75/596,376 = 596,376/x
  3. Step 3: Cross multiply
    286,422.75x = 596,376 × 596,376
  4. Step 4: Simplify right side
    286,422.75x = 355,664,333,376
  5. Step 5: Solve for x
    x = 355,664,333,376/286,422.75
  6. Step 6: Final answer
    x = 1,241,746.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.