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Finding the Third Proportional to 504,584 and 758,984

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Solution

The third proportional to 504,584 and 758,984 is: 1,141,646.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,584 : 758,984 = 758,984 : x
  2. Step 2: Convert to fraction form
    504,584/758,984 = 758,984/x
  3. Step 3: Cross multiply
    504,584x = 758,984 × 758,984
  4. Step 4: Simplify right side
    504,584x = 576,056,712,256
  5. Step 5: Solve for x
    x = 576,056,712,256/504,584
  6. Step 6: Final answer
    x = 1,141,646.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.