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Finding the Third Proportional to 616,569.75 and 968,563.13

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Solution

The third proportional to 616,569.75 and 968,563.13 is: 1,521,505.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,569.75 : 968,563.13 = 968,563.13 : x
  2. Step 2: Convert to fraction form
    616,569.75/968,563.13 = 968,563.13/x
  3. Step 3: Cross multiply
    616,569.75x = 968,563.13 × 968,563.13
  4. Step 4: Simplify right side
    616,569.75x = 938,114,527,109.77
  5. Step 5: Solve for x
    x = 938,114,527,109.77/616,569.75
  6. Step 6: Final answer
    x = 1,521,505.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.