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Finding the Third Proportional to 492,280.03 and 719,557.17

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Solution

The third proportional to 492,280.03 and 719,557.17 is: 1,051,764.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,280.03 : 719,557.17 = 719,557.17 : x
  2. Step 2: Convert to fraction form
    492,280.03/719,557.17 = 719,557.17/x
  3. Step 3: Cross multiply
    492,280.03x = 719,557.17 × 719,557.17
  4. Step 4: Simplify right side
    492,280.03x = 517,762,523,596.75
  5. Step 5: Solve for x
    x = 517,762,523,596.75/492,280.03
  6. Step 6: Final answer
    x = 1,051,764.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.