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Finding the Third Proportional to 563,015 and 829,627

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Solution

The third proportional to 563,015 and 829,627 is: 1,222,491.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,015 : 829,627 = 829,627 : x
  2. Step 2: Convert to fraction form
    563,015/829,627 = 829,627/x
  3. Step 3: Cross multiply
    563,015x = 829,627 × 829,627
  4. Step 4: Simplify right side
    563,015x = 688,280,959,129
  5. Step 5: Solve for x
    x = 688,280,959,129/563,015
  6. Step 6: Final answer
    x = 1,222,491.34

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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.