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Finding the Third Proportional to 235,125 and 507,420

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Solution

The third proportional to 235,125 and 507,420 is: 1,095,056.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,125 : 507,420 = 507,420 : x
  2. Step 2: Convert to fraction form
    235,125/507,420 = 507,420/x
  3. Step 3: Cross multiply
    235,125x = 507,420 × 507,420
  4. Step 4: Simplify right side
    235,125x = 257,475,056,400
  5. Step 5: Solve for x
    x = 257,475,056,400/235,125
  6. Step 6: Final answer
    x = 1,095,056.06

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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.