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Finding the Third Proportional to 235,057.50 and 507,520.13

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Solution

The third proportional to 235,057.50 and 507,520.13 is: 1,095,802.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,057.50 : 507,520.13 = 507,520.13 : x
  2. Step 2: Convert to fraction form
    235,057.50/507,520.13 = 507,520.13/x
  3. Step 3: Cross multiply
    235,057.50x = 507,520.13 × 507,520.13
  4. Step 4: Simplify right side
    235,057.50x = 257,576,677,280.02
  5. Step 5: Solve for x
    x = 257,576,677,280.02/235,057.50
  6. Step 6: Final answer
    x = 1,095,802.85

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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.