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Finding the Third Proportional to 427,830.75 and 657,663.75

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Solution

The third proportional to 427,830.75 and 657,663.75 is: 1,010,964.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,830.75 : 657,663.75 = 657,663.75 : x
  2. Step 2: Convert to fraction form
    427,830.75/657,663.75 = 657,663.75/x
  3. Step 3: Cross multiply
    427,830.75x = 657,663.75 × 657,663.75
  4. Step 4: Simplify right side
    427,830.75x = 432,521,608,064.06
  5. Step 5: Solve for x
    x = 432,521,608,064.06/427,830.75
  6. Step 6: Final answer
    x = 1,010,964.28

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.