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Finding the Third Proportional to 242,482 and 526,436

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Solution

The third proportional to 242,482 and 526,436 is: 1,142,909.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,482 : 526,436 = 526,436 : x
  2. Step 2: Convert to fraction form
    242,482/526,436 = 526,436/x
  3. Step 3: Cross multiply
    242,482x = 526,436 × 526,436
  4. Step 4: Simplify right side
    242,482x = 277,134,862,096
  5. Step 5: Solve for x
    x = 277,134,862,096/242,482
  6. Step 6: Final answer
    x = 1,142,909.01

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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.