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Finding the Third Proportional to 540,961.50 and 842,061

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Solution

The third proportional to 540,961.50 and 842,061 is: 1,310,752.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,961.50 : 842,061 = 842,061 : x
  2. Step 2: Convert to fraction form
    540,961.50/842,061 = 842,061/x
  3. Step 3: Cross multiply
    540,961.50x = 842,061 × 842,061
  4. Step 4: Simplify right side
    540,961.50x = 709,066,727,721
  5. Step 5: Solve for x
    x = 709,066,727,721/540,961.50
  6. Step 6: Final answer
    x = 1,310,752.66

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.