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Finding the Third Proportional to 242,984 and 525,904

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Solution

The third proportional to 242,984 and 525,904 is: 1,138,243.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,984 : 525,904 = 525,904 : x
  2. Step 2: Convert to fraction form
    242,984/525,904 = 525,904/x
  3. Step 3: Cross multiply
    242,984x = 525,904 × 525,904
  4. Step 4: Simplify right side
    242,984x = 276,575,017,216
  5. Step 5: Solve for x
    x = 276,575,017,216/242,984
  6. Step 6: Final answer
    x = 1,138,243.74

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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.