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Finding the Third Proportional to 242,747 and 528,102

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Solution

The third proportional to 242,747 and 528,102 is: 1,148,898.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,747 : 528,102 = 528,102 : x
  2. Step 2: Convert to fraction form
    242,747/528,102 = 528,102/x
  3. Step 3: Cross multiply
    242,747x = 528,102 × 528,102
  4. Step 4: Simplify right side
    242,747x = 278,891,722,404
  5. Step 5: Solve for x
    x = 278,891,722,404/242,747
  6. Step 6: Final answer
    x = 1,148,898.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.