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Finding the Third Proportional to 665,068.50 and 1,429,924.50

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Solution

The third proportional to 665,068.50 and 1,429,924.50 is: 3,074,396.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,068.50 : 1,429,924.50 = 1,429,924.50 : x
  2. Step 2: Convert to fraction form
    665,068.50/1,429,924.50 = 1,429,924.50/x
  3. Step 3: Cross multiply
    665,068.50x = 1,429,924.50 × 1,429,924.50
  4. Step 4: Simplify right side
    665,068.50x = 2,044,684,075,700.25
  5. Step 5: Solve for x
    x = 2,044,684,075,700.25/665,068.50
  6. Step 6: Final answer
    x = 3,074,396.21

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.