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Finding the Third Proportional to 235,057 and 507,520

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Solution

The third proportional to 235,057 and 507,520 is: 1,095,804.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,057 : 507,520 = 507,520 : x
  2. Step 2: Convert to fraction form
    235,057/507,520 = 507,520/x
  3. Step 3: Cross multiply
    235,057x = 507,520 × 507,520
  4. Step 4: Simplify right side
    235,057x = 257,576,550,400
  5. Step 5: Solve for x
    x = 257,576,550,400/235,057
  6. Step 6: Final answer
    x = 1,095,804.64

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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.