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Finding the Third Proportional to 353,536.50 and 768,547.50

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Solution

The third proportional to 353,536.50 and 768,547.50 is: 1,670,733.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,536.50 : 768,547.50 = 768,547.50 : x
  2. Step 2: Convert to fraction form
    353,536.50/768,547.50 = 768,547.50/x
  3. Step 3: Cross multiply
    353,536.50x = 768,547.50 × 768,547.50
  4. Step 4: Simplify right side
    353,536.50x = 590,665,259,756.25
  5. Step 5: Solve for x
    x = 590,665,259,756.25/353,536.50
  6. Step 6: Final answer
    x = 1,670,733.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.