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Finding the Third Proportional to 245,454 and 529,548

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Solution

The third proportional to 245,454 and 529,548 is: 1,142,458.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,454 : 529,548 = 529,548 : x
  2. Step 2: Convert to fraction form
    245,454/529,548 = 529,548/x
  3. Step 3: Cross multiply
    245,454x = 529,548 × 529,548
  4. Step 4: Simplify right side
    245,454x = 280,421,084,304
  5. Step 5: Solve for x
    x = 280,421,084,304/245,454
  6. Step 6: Final answer
    x = 1,142,458.81

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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.