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Finding the Third Proportional to 464,213 and 626,331

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Solution

The third proportional to 464,213 and 626,331 is: 845,065.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,213 : 626,331 = 626,331 : x
  2. Step 2: Convert to fraction form
    464,213/626,331 = 626,331/x
  3. Step 3: Cross multiply
    464,213x = 626,331 × 626,331
  4. Step 4: Simplify right side
    464,213x = 392,290,521,561
  5. Step 5: Solve for x
    x = 392,290,521,561/464,213
  6. Step 6: Final answer
    x = 845,065.78

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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.