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Finding the Third Proportional to 368,955 and 564,136.50

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Solution

The third proportional to 368,955 and 564,136.50 is: 862,571.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,955 : 564,136.50 = 564,136.50 : x
  2. Step 2: Convert to fraction form
    368,955/564,136.50 = 564,136.50/x
  3. Step 3: Cross multiply
    368,955x = 564,136.50 × 564,136.50
  4. Step 4: Simplify right side
    368,955x = 318,249,990,632.25
  5. Step 5: Solve for x
    x = 318,249,990,632.25/368,955
  6. Step 6: Final answer
    x = 862,571.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.