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Finding the Third Proportional to 719,274.50 and 1,574,006.50

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Solution

The third proportional to 719,274.50 and 1,574,006.50 is: 3,444,438.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,274.50 : 1,574,006.50 = 1,574,006.50 : x
  2. Step 2: Convert to fraction form
    719,274.50/1,574,006.50 = 1,574,006.50/x
  3. Step 3: Cross multiply
    719,274.50x = 1,574,006.50 × 1,574,006.50
  4. Step 4: Simplify right side
    719,274.50x = 2,477,496,462,042.25
  5. Step 5: Solve for x
    x = 2,477,496,462,042.25/719,274.50
  6. Step 6: Final answer
    x = 3,444,438.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.