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Finding the Third Proportional to 543,106 and 759,655.50

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Solution

The third proportional to 543,106 and 759,655.50 is: 1,062,548.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,106 : 759,655.50 = 759,655.50 : x
  2. Step 2: Convert to fraction form
    543,106/759,655.50 = 759,655.50/x
  3. Step 3: Cross multiply
    543,106x = 759,655.50 × 759,655.50
  4. Step 4: Simplify right side
    543,106x = 577,076,478,680.25
  5. Step 5: Solve for x
    x = 577,076,478,680.25/543,106
  6. Step 6: Final answer
    x = 1,062,548.52

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.