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Finding the Third Proportional to 242,719 and 532,095

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Solution

The third proportional to 242,719 and 532,095 is: 1,166,472.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,719 : 532,095 = 532,095 : x
  2. Step 2: Convert to fraction form
    242,719/532,095 = 532,095/x
  3. Step 3: Cross multiply
    242,719x = 532,095 × 532,095
  4. Step 4: Simplify right side
    242,719x = 283,125,089,025
  5. Step 5: Solve for x
    x = 283,125,089,025/242,719
  6. Step 6: Final answer
    x = 1,166,472.71

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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.