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Finding the Third Proportional to 562,916.25 and 829,485.56

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Solution

The third proportional to 562,916.25 and 829,485.56 is: 1,222,288.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,916.25 : 829,485.56 = 829,485.56 : x
  2. Step 2: Convert to fraction form
    562,916.25/829,485.56 = 829,485.56/x
  3. Step 3: Cross multiply
    562,916.25x = 829,485.56 × 829,485.56
  4. Step 4: Simplify right side
    562,916.25x = 688,046,298,395.94
  5. Step 5: Solve for x
    x = 688,046,298,395.94/562,916.25
  6. Step 6: Final answer
    x = 1,222,288.93

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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.