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Finding the Third Proportional to 242,938.50 and 522,783

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Solution

The third proportional to 242,938.50 and 522,783 is: 1,124,984.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,938.50 : 522,783 = 522,783 : x
  2. Step 2: Convert to fraction form
    242,938.50/522,783 = 522,783/x
  3. Step 3: Cross multiply
    242,938.50x = 522,783 × 522,783
  4. Step 4: Simplify right side
    242,938.50x = 273,302,065,089
  5. Step 5: Solve for x
    x = 273,302,065,089/242,938.50
  6. Step 6: Final answer
    x = 1,124,984.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.