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Finding the Third Proportional to 242,642 and 525,028

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Solution

The third proportional to 242,642 and 525,028 is: 1,136,053.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,642 : 525,028 = 525,028 : x
  2. Step 2: Convert to fraction form
    242,642/525,028 = 525,028/x
  3. Step 3: Cross multiply
    242,642x = 525,028 × 525,028
  4. Step 4: Simplify right side
    242,642x = 275,654,400,784
  5. Step 5: Solve for x
    x = 275,654,400,784/242,642
  6. Step 6: Final answer
    x = 1,136,053.94

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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.