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Finding the Third Proportional to 391,687.50 and 528,480

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Solution

The third proportional to 391,687.50 and 528,480 is: 713,045.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,687.50 : 528,480 = 528,480 : x
  2. Step 2: Convert to fraction form
    391,687.50/528,480 = 528,480/x
  3. Step 3: Cross multiply
    391,687.50x = 528,480 × 528,480
  4. Step 4: Simplify right side
    391,687.50x = 279,291,110,400
  5. Step 5: Solve for x
    x = 279,291,110,400/391,687.50
  6. Step 6: Final answer
    x = 713,045.76

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.