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Finding the Third Proportional to 242,679 and 532,014

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Solution

The third proportional to 242,679 and 532,014 is: 1,166,309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,679 : 532,014 = 532,014 : x
  2. Step 2: Convert to fraction form
    242,679/532,014 = 532,014/x
  3. Step 3: Cross multiply
    242,679x = 532,014 × 532,014
  4. Step 4: Simplify right side
    242,679x = 283,038,896,196
  5. Step 5: Solve for x
    x = 283,038,896,196/242,679
  6. Step 6: Final answer
    x = 1,166,309.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.