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Finding the Third Proportional to 489,783.38 and 756,510.56

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Solution

The third proportional to 489,783.38 and 756,510.56 is: 1,168,492.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,783.38 : 756,510.56 = 756,510.56 : x
  2. Step 2: Convert to fraction form
    489,783.38/756,510.56 = 756,510.56/x
  3. Step 3: Cross multiply
    489,783.38x = 756,510.56 × 756,510.56
  4. Step 4: Simplify right side
    489,783.38x = 572,308,231,174.07
  5. Step 5: Solve for x
    x = 572,308,231,174.07/489,783.38
  6. Step 6: Final answer
    x = 1,168,492.56

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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.