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Finding the Third Proportional to 623,509.50 and 1,344,312.75

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Solution

The third proportional to 623,509.50 and 1,344,312.75 is: 2,898,394.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,509.50 : 1,344,312.75 = 1,344,312.75 : x
  2. Step 2: Convert to fraction form
    623,509.50/1,344,312.75 = 1,344,312.75/x
  3. Step 3: Cross multiply
    623,509.50x = 1,344,312.75 × 1,344,312.75
  4. Step 4: Simplify right side
    623,509.50x = 1,807,176,769,812.56
  5. Step 5: Solve for x
    x = 1,807,176,769,812.56/623,509.50
  6. Step 6: Final answer
    x = 2,898,394.92

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Why These Related Problems?

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