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Finding the Third Proportional to 562,912 and 829,479

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Solution

The third proportional to 562,912 and 829,479 is: 1,222,278.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,912 : 829,479 = 829,479 : x
  2. Step 2: Convert to fraction form
    562,912/829,479 = 829,479/x
  3. Step 3: Cross multiply
    562,912x = 829,479 × 829,479
  4. Step 4: Simplify right side
    562,912x = 688,035,411,441
  5. Step 5: Solve for x
    x = 688,035,411,441/562,912
  6. Step 6: Final answer
    x = 1,222,278.81

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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.