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Finding the Third Proportional to 343,546.95 and 534,952.16

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Solution

The third proportional to 343,546.95 and 534,952.16 is: 832,997.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,546.95 : 534,952.16 = 534,952.16 : x
  2. Step 2: Convert to fraction form
    343,546.95/534,952.16 = 534,952.16/x
  3. Step 3: Cross multiply
    343,546.95x = 534,952.16 × 534,952.16
  4. Step 4: Simplify right side
    343,546.95x = 286,173,813,655.84
  5. Step 5: Solve for x
    x = 286,173,813,655.84/343,546.95
  6. Step 6: Final answer
    x = 832,997.70

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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.