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Finding the Third Proportional to 436,281 and 912,294

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Solution

The third proportional to 436,281 and 912,294 is: 1,907,670.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,281 : 912,294 = 912,294 : x
  2. Step 2: Convert to fraction form
    436,281/912,294 = 912,294/x
  3. Step 3: Cross multiply
    436,281x = 912,294 × 912,294
  4. Step 4: Simplify right side
    436,281x = 832,280,342,436
  5. Step 5: Solve for x
    x = 832,280,342,436/436,281
  6. Step 6: Final answer
    x = 1,907,670.38

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.