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Finding the Third Proportional to 334,373 and 723,284.50

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Solution

The third proportional to 334,373 and 723,284.50 is: 1,564,541.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,373 : 723,284.50 = 723,284.50 : x
  2. Step 2: Convert to fraction form
    334,373/723,284.50 = 723,284.50/x
  3. Step 3: Cross multiply
    334,373x = 723,284.50 × 723,284.50
  4. Step 4: Simplify right side
    334,373x = 523,140,467,940.25
  5. Step 5: Solve for x
    x = 523,140,467,940.25/334,373
  6. Step 6: Final answer
    x = 1,564,541.60

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.