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Finding the Third Proportional to 285,312 and 441,541

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Solution

The third proportional to 285,312 and 441,541 is: 683,316.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,312 : 441,541 = 441,541 : x
  2. Step 2: Convert to fraction form
    285,312/441,541 = 441,541/x
  3. Step 3: Cross multiply
    285,312x = 441,541 × 441,541
  4. Step 4: Simplify right side
    285,312x = 194,958,454,681
  5. Step 5: Solve for x
    x = 194,958,454,681/285,312
  6. Step 6: Final answer
    x = 683,316.70

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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.