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Finding the Third Proportional to 285,306 and 441,547

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Solution

The third proportional to 285,306 and 441,547 is: 683,349.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,306 : 441,547 = 441,547 : x
  2. Step 2: Convert to fraction form
    285,306/441,547 = 441,547/x
  3. Step 3: Cross multiply
    285,306x = 441,547 × 441,547
  4. Step 4: Simplify right side
    285,306x = 194,963,753,209
  5. Step 5: Solve for x
    x = 194,963,753,209/285,306
  6. Step 6: Final answer
    x = 683,349.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.