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Finding the Third Proportional to 563,058 and 829,656

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Solution

The third proportional to 563,058 and 829,656 is: 1,222,483.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,058 : 829,656 = 829,656 : x
  2. Step 2: Convert to fraction form
    563,058/829,656 = 829,656/x
  3. Step 3: Cross multiply
    563,058x = 829,656 × 829,656
  4. Step 4: Simplify right side
    563,058x = 688,329,078,336
  5. Step 5: Solve for x
    x = 688,329,078,336/563,058
  6. Step 6: Final answer
    x = 1,222,483.44

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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.