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Finding the Third Proportional to 354,720 and 521,707.50

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Solution

The third proportional to 354,720 and 521,707.50 is: 767,305.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,720 : 521,707.50 = 521,707.50 : x
  2. Step 2: Convert to fraction form
    354,720/521,707.50 = 521,707.50/x
  3. Step 3: Cross multiply
    354,720x = 521,707.50 × 521,707.50
  4. Step 4: Simplify right side
    354,720x = 272,178,715,556.25
  5. Step 5: Solve for x
    x = 272,178,715,556.25/354,720
  6. Step 6: Final answer
    x = 767,305.81

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