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Finding the Third Proportional to 563,292 and 849,728

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Solution

The third proportional to 563,292 and 849,728 is: 1,281,817.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,292 : 849,728 = 849,728 : x
  2. Step 2: Convert to fraction form
    563,292/849,728 = 849,728/x
  3. Step 3: Cross multiply
    563,292x = 849,728 × 849,728
  4. Step 4: Simplify right side
    563,292x = 722,037,673,984
  5. Step 5: Solve for x
    x = 722,037,673,984/563,292
  6. Step 6: Final answer
    x = 1,281,817.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.