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Finding the Third Proportional to 285,304 and 602,435

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Solution

The third proportional to 285,304 and 602,435 is: 1,272,074.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,304 : 602,435 = 602,435 : x
  2. Step 2: Convert to fraction form
    285,304/602,435 = 602,435/x
  3. Step 3: Cross multiply
    285,304x = 602,435 × 602,435
  4. Step 4: Simplify right side
    285,304x = 362,927,929,225
  5. Step 5: Solve for x
    x = 362,927,929,225/285,304
  6. Step 6: Final answer
    x = 1,272,074.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.