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Finding the Third Proportional to 522,068.63 and 830,722.50

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Solution

The third proportional to 522,068.63 and 830,722.50 is: 1,321,856.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,068.63 : 830,722.50 = 830,722.50 : x
  2. Step 2: Convert to fraction form
    522,068.63/830,722.50 = 830,722.50/x
  3. Step 3: Cross multiply
    522,068.63x = 830,722.50 × 830,722.50
  4. Step 4: Simplify right side
    522,068.63x = 690,099,872,006.25
  5. Step 5: Solve for x
    x = 690,099,872,006.25/522,068.63
  6. Step 6: Final answer
    x = 1,321,856.63

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.