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Finding the Third Proportional to 333,348 and 529,548

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Solution

The third proportional to 333,348 and 529,548 is: 841,226.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,348 : 529,548 = 529,548 : x
  2. Step 2: Convert to fraction form
    333,348/529,548 = 529,548/x
  3. Step 3: Cross multiply
    333,348x = 529,548 × 529,548
  4. Step 4: Simplify right side
    333,348x = 280,421,084,304
  5. Step 5: Solve for x
    x = 280,421,084,304/333,348
  6. Step 6: Final answer
    x = 841,226.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.