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Finding the Third Proportional to 242,536 and 510,210

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Solution

The third proportional to 242,536 and 510,210 is: 1,073,301.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,536 : 510,210 = 510,210 : x
  2. Step 2: Convert to fraction form
    242,536/510,210 = 510,210/x
  3. Step 3: Cross multiply
    242,536x = 510,210 × 510,210
  4. Step 4: Simplify right side
    242,536x = 260,314,244,100
  5. Step 5: Solve for x
    x = 260,314,244,100/242,536
  6. Step 6: Final answer
    x = 1,073,301.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.