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Finding the Third Proportional to 234,807.75 and 507,901.25

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Solution

The third proportional to 234,807.75 and 507,901.25 is: 1,098,616.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,807.75 : 507,901.25 = 507,901.25 : x
  2. Step 2: Convert to fraction form
    234,807.75/507,901.25 = 507,901.25/x
  3. Step 3: Cross multiply
    234,807.75x = 507,901.25 × 507,901.25
  4. Step 4: Simplify right side
    234,807.75x = 257,963,679,751.56
  5. Step 5: Solve for x
    x = 257,963,679,751.56/234,807.75
  6. Step 6: Final answer
    x = 1,098,616.55

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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.