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Finding the Third Proportional to 374,913.50 and 535,748

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Solution

The third proportional to 374,913.50 and 535,748 is: 765,579.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,913.50 : 535,748 = 535,748 : x
  2. Step 2: Convert to fraction form
    374,913.50/535,748 = 535,748/x
  3. Step 3: Cross multiply
    374,913.50x = 535,748 × 535,748
  4. Step 4: Simplify right side
    374,913.50x = 287,025,919,504
  5. Step 5: Solve for x
    x = 287,025,919,504/374,913.50
  6. Step 6: Final answer
    x = 765,579.05

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.