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Finding the Third Proportional to 242,382 and 523,482

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Solution

The third proportional to 242,382 and 523,482 is: 1,130,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,382 : 523,482 = 523,482 : x
  2. Step 2: Convert to fraction form
    242,382/523,482 = 523,482/x
  3. Step 3: Cross multiply
    242,382x = 523,482 × 523,482
  4. Step 4: Simplify right side
    242,382x = 274,033,404,324
  5. Step 5: Solve for x
    x = 274,033,404,324/242,382
  6. Step 6: Final answer
    x = 1,130,584.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.