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Finding the Third Proportional to 563,912 and 830,292

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Solution

The third proportional to 563,912 and 830,292 is: 1,222,504.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,912 : 830,292 = 830,292 : x
  2. Step 2: Convert to fraction form
    563,912/830,292 = 830,292/x
  3. Step 3: Cross multiply
    563,912x = 830,292 × 830,292
  4. Step 4: Simplify right side
    563,912x = 689,384,805,264
  5. Step 5: Solve for x
    x = 689,384,805,264/563,912
  6. Step 6: Final answer
    x = 1,222,504.23

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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.