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Finding the Third Proportional to 562,912 and 829,478

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Solution

The third proportional to 562,912 and 829,478 is: 1,222,275.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,912 : 829,478 = 829,478 : x
  2. Step 2: Convert to fraction form
    562,912/829,478 = 829,478/x
  3. Step 3: Cross multiply
    562,912x = 829,478 × 829,478
  4. Step 4: Simplify right side
    562,912x = 688,033,752,484
  5. Step 5: Solve for x
    x = 688,033,752,484/562,912
  6. Step 6: Final answer
    x = 1,222,275.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.