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Finding the Third Proportional to 464,185 and 626,292

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Solution

The third proportional to 464,185 and 626,292 is: 845,011.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,185 : 626,292 = 626,292 : x
  2. Step 2: Convert to fraction form
    464,185/626,292 = 626,292/x
  3. Step 3: Cross multiply
    464,185x = 626,292 × 626,292
  4. Step 4: Simplify right side
    464,185x = 392,241,669,264
  5. Step 5: Solve for x
    x = 392,241,669,264/464,185
  6. Step 6: Final answer
    x = 845,011.51

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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.