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Finding the Third Proportional to 242,385 and 523,488

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Solution

The third proportional to 242,385 and 523,488 is: 1,130,596.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,385 : 523,488 = 523,488 : x
  2. Step 2: Convert to fraction form
    242,385/523,488 = 523,488/x
  3. Step 3: Cross multiply
    242,385x = 523,488 × 523,488
  4. Step 4: Simplify right side
    242,385x = 274,039,686,144
  5. Step 5: Solve for x
    x = 274,039,686,144/242,385
  6. Step 6: Final answer
    x = 1,130,596.72

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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.