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Finding the Third Proportional to 434,830 and 687,264

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Solution

The third proportional to 434,830 and 687,264 is: 1,086,244.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,830 : 687,264 = 687,264 : x
  2. Step 2: Convert to fraction form
    434,830/687,264 = 687,264/x
  3. Step 3: Cross multiply
    434,830x = 687,264 × 687,264
  4. Step 4: Simplify right side
    434,830x = 472,331,805,696
  5. Step 5: Solve for x
    x = 472,331,805,696/434,830
  6. Step 6: Final answer
    x = 1,086,244.75

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.