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Finding the Third Proportional to 657,958.78 and 964,126.13

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Solution

The third proportional to 657,958.78 and 964,126.13 is: 1,412,762.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,958.78 : 964,126.13 = 964,126.13 : x
  2. Step 2: Convert to fraction form
    657,958.78/964,126.13 = 964,126.13/x
  3. Step 3: Cross multiply
    657,958.78x = 964,126.13 × 964,126.13
  4. Step 4: Simplify right side
    657,958.78x = 929,539,184,907.52
  5. Step 5: Solve for x
    x = 929,539,184,907.52/657,958.78
  6. Step 6: Final answer
    x = 1,412,762.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.