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Finding the Third Proportional to 563,296.50 and 849,735

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Solution

The third proportional to 563,296.50 and 849,735 is: 1,281,828.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,296.50 : 849,735 = 849,735 : x
  2. Step 2: Convert to fraction form
    563,296.50/849,735 = 849,735/x
  3. Step 3: Cross multiply
    563,296.50x = 849,735 × 849,735
  4. Step 4: Simplify right side
    563,296.50x = 722,049,570,225
  5. Step 5: Solve for x
    x = 722,049,570,225/563,296.50
  6. Step 6: Final answer
    x = 1,281,828.61

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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.