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Finding the Third Proportional to 242,740 and 528,084

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Solution

The third proportional to 242,740 and 528,084 is: 1,148,853.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,740 : 528,084 = 528,084 : x
  2. Step 2: Convert to fraction form
    242,740/528,084 = 528,084/x
  3. Step 3: Cross multiply
    242,740x = 528,084 × 528,084
  4. Step 4: Simplify right side
    242,740x = 278,872,711,056
  5. Step 5: Solve for x
    x = 278,872,711,056/242,740
  6. Step 6: Final answer
    x = 1,148,853.55

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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.