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Finding the Third Proportional to 253,242 and 553,536

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Solution

The third proportional to 253,242 and 553,536 is: 1,209,918.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,242 : 553,536 = 553,536 : x
  2. Step 2: Convert to fraction form
    253,242/553,536 = 553,536/x
  3. Step 3: Cross multiply
    253,242x = 553,536 × 553,536
  4. Step 4: Simplify right side
    253,242x = 306,402,103,296
  5. Step 5: Solve for x
    x = 306,402,103,296/253,242
  6. Step 6: Final answer
    x = 1,209,918.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.