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Finding the Third Proportional to 243,444 and 527,984

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Solution

The third proportional to 243,444 and 527,984 is: 1,145,097.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,444 : 527,984 = 527,984 : x
  2. Step 2: Convert to fraction form
    243,444/527,984 = 527,984/x
  3. Step 3: Cross multiply
    243,444x = 527,984 × 527,984
  4. Step 4: Simplify right side
    243,444x = 278,767,104,256
  5. Step 5: Solve for x
    x = 278,767,104,256/243,444
  6. Step 6: Final answer
    x = 1,145,097.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.