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Finding the Third Proportional to 563,024 and 829,641

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Solution

The third proportional to 563,024 and 829,641 is: 1,222,513.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,024 : 829,641 = 829,641 : x
  2. Step 2: Convert to fraction form
    563,024/829,641 = 829,641/x
  3. Step 3: Cross multiply
    563,024x = 829,641 × 829,641
  4. Step 4: Simplify right side
    563,024x = 688,304,188,881
  5. Step 5: Solve for x
    x = 688,304,188,881/563,024
  6. Step 6: Final answer
    x = 1,222,513.05

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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.