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Finding the Third Proportional to 464,175 and 626,277

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Solution

The third proportional to 464,175 and 626,277 is: 844,989.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,175 : 626,277 = 626,277 : x
  2. Step 2: Convert to fraction form
    464,175/626,277 = 626,277/x
  3. Step 3: Cross multiply
    464,175x = 626,277 × 626,277
  4. Step 4: Simplify right side
    464,175x = 392,222,880,729
  5. Step 5: Solve for x
    x = 392,222,880,729/464,175
  6. Step 6: Final answer
    x = 844,989.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.