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Finding the Third Proportional to 242,378 and 507,028

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Solution

The third proportional to 242,378 and 507,028 is: 1,060,646.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,378 : 507,028 = 507,028 : x
  2. Step 2: Convert to fraction form
    242,378/507,028 = 507,028/x
  3. Step 3: Cross multiply
    242,378x = 507,028 × 507,028
  4. Step 4: Simplify right side
    242,378x = 257,077,392,784
  5. Step 5: Solve for x
    x = 257,077,392,784/242,378
  6. Step 6: Final answer
    x = 1,060,646.56

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.